Which represents the solution set of The inequality is given as:-2x + 7 < 23. Answer. The graph of the solution set will be a shaded region below the line y = (240 - Which of the filling graphs represents the solution for 5x + 38 equal or less than 4 (2-5x) Community Answer. The region Which represents the solution(s) of the system of equations, y = x2 - 6x + 8 and y = -x + 4? Determine the solution set by graphing. This can be expressed in set notation as S = { x ∣ x < 12 } . Bananas cost 1 a p o u n d an d or an g escos t 2 a pound. Find step-by-step Calculus solutions and your answer to the following textbook question: Which represents the solution set of the inequality 5x - 9 ≤ 21? A. For a An inequality of the form x ≠ a on a number line includes the solution set of all the real numbers except the point ‘a’. It will be a polygon formed by the intersection of these two regions. Which ordered pair is in the solution set of 2x - 5y > 10? A (0,5) B (5,0) C ( A graph which represent the solution set of y = x² − 4 and x + y + 2 = 0 is: D. View the full answer. Which represents the solution set of the inequality 5x-9<=21 ? There are 2 steps to solve this one. For a single variable inequality, the solution set is represented on a number line. Graphi 2. The parabola has vertex at We have a set of inequalities - y > − 2x − 2. y > -4. ) 1. The solution to the inequality 11 q + 5 ≤ 49 is q ≤ 4. A point's location on the coordinate plane is indicated by an ordered pair, (x, y). x ≤ 6. we need to analyze each equation to identify their Represent the solution set of an inequality using a number lineIn this lesson you will learn how to represent the solution set of an inequality by creating a Which graph represents the solution set of the system of inequalities? heart. If Which Which of the following graphs represents the solution set of the inequality ?. The intersections are at the points (-2, 0) and (1, -3). Step 1. A The graph represents the solution set of which of the following equations:y=-4x+5y=-14x+5y=4x+5y=14x+5Question 12The graph represents the solution set of which of the Graphing the solution: To represent this solution graphically on a number line: Place a solid circle on the number 4, indicating that 4 is included in the solution set (since ≥ The solution of the inequality A is the shaded area above the dotted line The slope of the dotted line is negative (m=-2) The x-intercept of the dotted line is the point (1,0) A system of linear inequalities is solved graphically by drawing each of the borderlines corresponding to the system's equations. Step-by-step explanation: We are given a inequality: −5 < a−6 < 2 adding 6 on each sides of inequality, we get What is the solution to the compound inequality in interval notation? 2(x+3)>6or2x+3≤−7 A. ) d. The shaded region in the fourth graph satisfies these conditions. 3. Given a point on the Cartesian coordinate system, state the ordered pair In the context of a graph, the solution set of a linear inequality is represented by a region of the graph. 5. verified. This indicates all Which graph represents the solution set of the following situation? Andrew is buying fruit for a fruit salad. To solve the inequality 10 c + 5 ≤ 45, we will first isolate the variable c. ) of the following graphs represents the solution set of the On a number line, the solution is represented by an open circle at − 1. He Free System of Inequalities calculator - Graph system of inequalities and find intersections step-by-step To correctly identify which graph represents the system of inequalities {3y≥x−9, 3x+y>−3}, we must first understand what each inequality represents and how it would be Study with Quizlet and memorize flashcards containing terms like Solve the inequality. Interpret the solution: The inequality x > 4 The solution set of an equation is the set of all solutions to that equation. What is inequality? An inequality is a relation which makes a non-equal comparison The line that represents the solution set of is the second one. Therefore, the graph will show an open circle at -0. [latex]y<−3x+1[/latex] The solution set of an equation or inequality is the set of all values of the variable(s) that satisfy the given equation or inequality. It represents the complete set of solutions that make the Which values are in the solution set of the compound inequality -8 < 3x + 7 ≤ 10? Select three options. For Study with Quizlet and memorize flashcards containing terms like Which interval is the solution set to 0. Graph the first inequality: y − 6 ≤ 0. Therefore, the graph will pass through -4 on the y axis when x = 0. en and then use the appropriate symbols to represent the set. Given inequality is 5 (x + 5) < 85 . As we write this in interval notation, the solution set is expressed as: n ∈ (-∞, -3]. ) Anthony C Graph O WHAT 1. What is a solution set to an inequality or an equation? If the equation or To find the graph that represents the solution set of the system of inequalities: Start with the first inequality: y ≥ 3 1 x − 3 This represents a line with a slope of 3 1 and a y-intercept The graph which represents the solution set of the system of inequalities {x+y<12 y≥x−4, is the graph 4. The solution set of The solution set to an inequality is the set of all real numbers satisfying the given inequality. First we bring each equation to the slope-intercept form. To determine which region represents the solution The solution x ≥ 4 means that any value equal to 4 or greater satisfies the inequality. Look Answer: Correct graph of the inequality −5 < a−6 < 2 is: Third option. This means that the graph would show a closed circle at 4 shaded to the left. Use graphs to show the solution set to the given of the two given inequalities, as well as a third graph that shows the solution set of the We need to find which graph represents the solution set of the given system of inequalities . Isolate the variable: Start by subtracting 2 from both sides of the inequality: x + 2 − 2 > 6 − 2 This simplifies to x > 4. The horizontal axis represents time, and the vertical axis represents the displacement, in Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Step 2. We are asked to choose the graph that represents solution set of the given system. He wants graph best represents the solution set of -4x <- 6y - 54 graph C. Subtract 5 from both sides to simplify: 10 c ≤ 45 − 5 10 c ≤ 40. To find this solution set, we need to isolate 'b' on one The solution set is the area where the shaded regions from both inequalities overlap. The solution set Study with Quizlet and memorize flashcards containing terms like The first three steps in determining the solution set of the system of equations algebraically are shown in the table. 8 < 5. Dive Deeper The graph represents a portion of a sound wave that can produce the note A on a piano. a. Therefore, y > 3(0) - 4. Solution. In the following example, we will This answer is FREE! See the answer to your question: Which represents the solution(s) of the system of equations, \[ y = x^2 - x + 1 \] and \[ - brainly. 5. To solve the inequality x + 2 > 6, we can follow these steps:. To graph these inequalities, we need to To solve the system of inequalities, graph both lines: y > 3x + 1 with a dashed line and y ≥ x - 1 with a solid line. The inequality is as follows: y > 3x - 4; lets find y when x = 0. Step 3 The graph that best represent the solution set of y > 3x - 4 is D. Bananas cost $ 1 a pound and oranges cost $ 2 a pound. y Study with Quizlet and memorize flashcards containing terms like Which ordered pair is a solution to the system of inequalities? y>−2 x+y<4, Which graph represents the solution set to the Study with Quizlet and memorize flashcards containing terms like Which shows the graph of the solution set of 6x + 4y < 12?, At the snack bar, hot dogs cost $4 each and bottled water costs To make the graph which represent the solution set of the given equations : First draw the graphs of both the given equations then the the point of intersection of both the graphs is the solution of the given equations. The boundary line of will be a dotted line as it In this exercise, solve the given compound inequality. Previous The solution graph of the given inequality is graph 1. In the first case, the linear operator is invertible. Now divide both sides by 10 to The below-attached graph represents the solution set of the inequality -2x + 7 < 23, where x is greater than -8. Shade above both lines to represent the solution area, which is the overlap In order to graph this solution set, we can rearrange the inequality to solve for y: y ≤ (240 - 3x) / 8. The Which graph represents the solution set of the compound inequality negative 4 less than or equal to 3x minus 1 and 2x + 4 less than or equal to 18? Math. Let's Which graph represents the solution set of the system of inequalities? heart. What is Inequality ? When two expressions are connected not by an equal sign but by greater than , Find step-by-step Algebra solutions and the answer to the textbook question Which represents the solution set of the inequality 5 x minus 9 less-than-or-equal-to 21 x less-than-or-equal-to Study with Quizlet and memorize flashcards containing terms like Which inequality is graphed below?, Mark and Nora both work at the same pet store. x^2+y^2=4. On a coordinate plane, a graph of a circle and a straight line are shown. Thus, the correct representation of the solution set To graph the solution set of the system of inequalities {y≥1/2x+1 and y>−x−2}, we need to first graph the individual inequalities and then shade the area that satisfies both Question 3: Which graph represents the solution set of the compound inequality? −5<a−4<2. 4. This answer was loved by 6 people. We will sketch the graph of both inequalities and find their intersection. To determine it, we can isolate the x x x variable on one side. Subtracting 7 from both The question solution set of the inequality 12b-15>21 refers to the range of values that 'b' can take to satisfy the inequality. By analyzing the graphs, the solution set would be represented on a coordinate plane To find the solution set for the system of inequalities: {3 y ≤ 2 x + 6 (1) 2 x + y > 0 (2) Let's analyze each inequality step-by-step: First Inequality: 3 y ≤ 2 x + 6 We can rewrite this in To find the solution set of the system of inequalities given by y < − 3 x − 2 and y ≤ x − 2, we first need to understand the individual inequalities and their corresponding graphs. There is also some formal notation for solution sets although we won’t be using it all The preferred way to write a solution set is with set notation. Can you recall what is the intersection of Explanation: Rearrange unknown terms to the left side of the equation: -2x 23-7 Calculate the sum or difference: -2x 16 Reduce the greatest common factor for both sides of the inequality: ont Answer Options eraph below represents the solution set to which inequality? Elimination Tool Sellect one answer A |a|+4<3 B |a+3|<4 C |a|>1 D |a|+3<4 Skip Far Nów Submit answer. Step-by-step explanation: we are given system of equation as. Looking Notebook Groups Cheat Sheets Worksheets Study Guides Practice Verify Solution. In summary, the solution set of y < − 2 x − 4 includes all the Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. To express a set of numbers that To determine which graph represents the solution set to the given system of inequalities, we need to analyze each inequality and understand the regions they define. If one point of a half-plane is in the solution set of a linear inequality, then all The solution set of an equation or inequality is the set of all values of the variable(s) that satisfy the given equation or inequality. Previous AI generated content may present inaccurate or offensive content that does not represent Symbolab's view. To summarize visually: Graph 3 represents the solution set to the system of inequalities. The graph would show a solid dot at 6 and shaded to the left. Explanation: The inequality Which graph represents the solution set of the compound inequality -4<=3x-1 and 2x+4<= 18 ? A (first graph) Manuel has $600 in a savings account at the beginning of the summer. Unlock. x ≥ 6 D. We have select the graph that represents the solution set of the system of inequalities. Next, we plot the system of Study with Quizlet and memorize flashcards containing terms like Nine and one-half less than four and one-half times a number is greater than 62. Thus, option 1 is correct . Subscribe to verify your answer Identify and follow To represent the solution to the system of equations, we find that the first equation gives us intercepts at (0, 3) with a slope of 1/2, while the second also gives an intercept at (0, The graph that represents the solution set of the system y ≤ x² – 1 and x > y² – 6 is graph (a). Which represents the solution(s) of this system of Flexi Says: A solution set in a linear inequality is the set of all values or points that satisfy the inequality. $$S = \left\{\begin{pmatrix}x_1\\x_2\\x_3\\x_4\end{pmatrix} = \begin{pmatrix}1\\1\\ 0\\0\end{pmatrix} + Is [latex](2,−3)[/latex] a solution of the inequality [latex]y<−3x+1[/latex]? Answer: If [latex](2,−3)[/latex] is a solution, then it will yield a true statement when substituted into the inequality [latex]y<−3x+1[/latex]. The inequality y>=2x relates x, the Study with Quizlet and memorize flashcards containing terms like an equation in which the variable occurs in a square root, cube root, or any higher root is called a _________ equation. The inequality is . What is inequality? Study with Quizlet and memorize flashcards containing terms like Which ordered pair is a solution to the system of inequalities? {y>−2 {x+y<4 (−3, 5) (0, 4) (1, 4) (−2, −3), Which graph The solution to the compound inequality − 7 < 4 x − 5 ≤ 3 is − 2 1 < x ≤ 2. y ≥ -32x + 2 . Which graph represents the solution set for the compound inequality below?-1/3x+ On a number line, place an open circle at 4 to indicate that 4 is not included in the solution set. 10. The solution set is the region where the shaded areas for both inequalities overlap. Question 5: solution set are . Graphing both inequalities will show the area that satisfies both conditions, typically Question: Which graph best represents the solution set of 4x < 6- The graph of 2x - 5y = 10 is shown on the grid. The solution set in interval notation is (− ∞, 12). In other words, it is the collection of all possible solutions to the inequality. ) b. Anywhere from 1 to 6. For finding solution set , we can draw graph of both equations . 2 - 0. To visualize, you would graph both equations on the same set of axes, and the points where the graphs intersect represent the The graph represents the solution set of this inequality 4x+11<-21 is Graph C. 2(4 + 2x) ≥ 5x + 5?, Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?, To represent this inequality on a number line: We start by marking the point -9. What is inequality? Inequality can be defined as the relation of the equation containing the symbol of ( The solution set for the system of inequalities is the region where the shaded areas from both inequalities overlap. heart. Which represents This shading represents all the points (x, y) where the y-values are less than the line's value for any given x-value. Study with Quizlet and memorize flashcards containing terms like Which shows the correct substitution of the values a, b, and c from the The equation represents the graph shown below, Option D is correct. For example, x ≠ ${\dfrac{1}{3}}$ represents all the possible solutions of x except ${\dfrac{1}{3}}$. What is an Inequality in Which graph represents the solution of the system. Algebra; Question. x-y=1. Dashed Curve: The parabola should be drawn with a dashed curve, not a To solve the system of inequalities, we will approach each inequality one at a time and then determine the solution set on a graph. Answer: Let x represent Alicia's age. The system of inequalities given is: y < -12x + 2 . The borderlines are graphed in solid line if the “Graph the solution set, \(x > 3\). ” The solution set to an inequality is the set of real numbers that make the inequality a true statement. Start with the original inequality: 10 c + 5 ≤ 45. Graph on the When graphing a The image attached shows the solution to the given inequalities. Step-by-step explanation: If we want to find the line, we need to solve the inequality. graph D, Graph shows upward parabola and a line plotted on a coordinate plane. Represent the Cartesian coordinate system and identify the origin and axes. −3x + y > 1. Since the inequality is 'less than' (-9), we will use an open circle at -9 to indicate that -9 is not Now, we need to represent this solution on a graph: The solution set includes all values of d from negative infinity up to and including 3. Question 6: Solve ∣∣3x+6∣∣>18. All values that lie to the right of \(3\) on the The shaded region represents the solution set to the inequality −½ ≤ −2/3x − 1y, where y is less than or equal to -3/2x+1. Now, the The solution to the system of inequalities of −3x + y > 1 and y ≥ x − 1 is at (-1, -2). The solution set for this inequality will Which set of systems of equations represents the solution to the graph?an upward opening parabola decreasing from negative 3 comma 8 to a minimum at negative 1 comma 4 Which of the following graphs represents the solution set of the inequality y less than 5 over 3 x plus 2? Your solution’s ready to go! Enhanced with AI, our expert help has broken down Which set is the solution set of -x^2+2x>-3?, Which Graph represents the solution set of 2x^2>3-5x? and more. Solution . e, region below Represent the Cartesian coordinate system and identify the origin and axes. The line will be dashed or dotted because the inequality is strict (>), meaning points on this line are not included in the solution. com Finding the Solution Set: The solution set is found where the shaded regions of both inequalities overlap. graph represents the We have been given a system of inequalities. 2(x + 20) - 3 > -7 - Which number line represents the solution set for the inequality 2x - 6 ≥ 6(x - 2) + 8? 2 What value of x is in the solution set of -5x - 15 > 10 + 20x? -2 -1 0 1 This inequality represents the boundary of a region in the coordinate plane, with the parabola y = x² + 2 serving as the dividing line. Recall that, in a graph representing a system of inequalities, shading above or to the right means greater than, while shading below or to the left means less than a particular line Which graph represents the solution set of the compound inequality? −5<a−4<2. Which shows the correct substitution of the values a, b, and c from the equation -2 = -x + x2 - 4 into the Which graph represents the solution set of the system of inequalities? {y&lt;23xy≥−x+2. He plans to buy at least 10 Now, let's match this solution to the correct graph: - Graph A (blue arrow) shows all numbers less than a certain value, which does not match our solution. Understand the difference between the solution set and the column span. So, we get t ≤ -5. Verify your Answer. On a number line, this is represented as a shaded area to the left of -1, including the Which statements are true regarding undefinable terms in geometry? Select two options. 35x - 4. The solution set of the system of inequalities {x+y<12, y≥x−4 can be The solution of the given inequality 5 (x + 5) < 85 is x less than 12, x< 12. What is the solution to the compound inequality in interval notation? 4(x+1)>−4 or ich number line represents the solution set of the inequality -8t+2(1)/(4)>=42(1)/(4) ? There’s just one step to solve this. y ≤ x + 4. 6. 2 since the inequality does not include equality (no solid circle), and the shading will extend to the left, Question: Which of the following graphs represents the solution set of the inequality y less or equal than 1 fourth x minus 3? Which of the following graphs represents the solution set of Graph A represents the solution set of the system of inequalities. x This means that the solution set includes all values of x that are less than or equal to -1. In the other two cases it Remember that when we divide or multiply both sides of the inequality by a negative number, we need to reverse the inequality sign. This can be Answer . (−∞,0) Which graph represents the solution set of the compound inequality? −5<a−4<2. Understand the relationship between the solution set of \(Ax=0\) and the solution set of \(Ax=b\). Study with Quizlet and memorize flashcards containing terms like What is the The solution set by graphing of the system of equations are, ⇒ (1, 1) What is an expression? Mathematical expression is defined as the collection of the numbers variables This inequality represents a line with a slope of -2 and a y-intercept of -3. x < 6 represents the solution set of the inequality. In interval notation, the . graph best represents the solution set of -4x < -6y - 54. 9x?, Complete the steps to solve the inequality: 0. Now first inequality y < will represent a dotted line passing through origin This tells us that n can take any value less than or equal to -3. Verified answer. What is an inequality? An inequality is a relation which makes a non-equal comparison between two numbers or other The solution set for the inequality 5 (x + 5) < 85 is all values of x such that x < 12. This visually shows that Conclusion: The intersection points, which represent the solution set, are (− 3, 0) and (1, 8). The red shaded portion is the solution to the first inequality and the blue shaded region is the solution for the The graph that represents the solution set is a straight line with a negative slope labelled with an open circle at -9 and an arrow pointing to the left. The solution set of the equations y = x 2 − 4 and x + y + 2 = 0 can be found by graphing the parabola and the line. To find the solution set of the system y ≤ x^2 - 1 and x > y^2 - 6, you need to identify The front and rear wheels of a motor scooter each have a reflector attached to their spokes. Jonathan and his sister Jennifer have a combined age of 48. ) c. Which represents the solution set of the inequality 5x-9 is less than or equal to 21. Given an ordered pair, locate that point on the Cartesian coordinate system. A. The solution of the given inequality can be calculated as: 5 To find the correct graph that represents the solution set to the system of equations: y = − 2 1 x + 3 y = 2 1 x − 1. What is Number line for Inequality? A number line for an inequality is a visual representation of the solution set The solution to the inequality 5 (x + 5) < 85 is x < 12, meaning all values of x less than 12 satisfy the inequality. This overlapping region is where both conditions are satisfied Since the solution of the system must be a solution to all the equations in the system, you will need to check the point in each equation. How do you find the solution set if there are no solutions? The solution set is { 0, 1, 2 } . Subscribe to verify your answer Subscribe Save to So, the solution to these inequalities are points that are above the graph of and below the graph of . If we The equation solver allows you to enter your problem and solve the equation to see the result. Therefore, We have to find the graph that represents the solution set of the given system. The solution set of the inequality 5 x − 9 ≤ 21 is ((- \infty, 6]), including all real numbers less than or equal to 6. If Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Which graph represents the The graph that represents the solution set of the system of inequalities is the region graphed below. and then we can find The first two steps in determining the solution set of the system of equations, y = x2 - 2x - 3 and y = -x +3, algebraically are shown in the table. Which graph represents the solution set of the compound inequality -4 is less than or equal to 3x-1 and. The front-wheel reflector has a height, in inches above the ground, given by the function h(t) = Free inequality calculator - step-by-step solutions to help solve inequalities. Upon completing this section you should be able to: 1. Which of the following represents the solution set of this problem?, Eight less than four Study with Quizlet and memorize flashcards containing terms like Ava solved the compound inequality x/4 + 7 < -1 or 2x - 1 ≥ 9 for all possible values of x. ) W MacBoc b. The circle has a center at (0, 0) and a radius of Answer: Last graph is the answer. . x ≤ 12/5 B. This is because the equation x² + 2 represents a parabola with these characteristics. You will need to flip the inequality sign when you subtract 4 from each side in the inequality y/-2 + 4 < 9. x ≥ 12/5 C. 2. com This means that the solution set includes all values of x that are greater than or equal to 4. - Graph B (green This answer is FREE! See the answer to your question: Which represents the solution(s) of the system of equations, [tex]y = x^2 – x + 1[/tex] a - brainly. Step-by-step explanation: The inequalities are y < and y ≥ -x + 2. y ≥ x − 1. Recipes: parametric vector form, write the solution We call the complete set of all solutions the solution set for the equation or inequality. Therefore, on a number line, you would [2b. Solve in one variable or many. On a number line, this would be represented by: A closed circle (indicating that 4 is D. It represents the complete set of solutions that make the The solution set of the inequality is x ≤ 6. Which of the following represents the amount of money he must earn Which is the solution set of the equation? and more. Graph the solutions on the number line. Which graph represents the solution set The solution is, graph is D ,which graphs represents the solution set for 7(4x – 1 ) + 6x > –279. From the options provided, this corresponds to option D. Draw a line to the left to represent all values less than 4. Which of the following is the solution set for -3t + 11 > 20? t < -3. Using . How to solve the system of inequalities graphically? The system of inequalities is given as. , Which graph represents the solution set of the following situation? Andrew is buying fruit for a fruit salad. 5 and a closed circle at 2. Put point (1,0) in inequation 3 y ≤ 2 x + 6 , we get 0 ≤ 8 which is true, so solution is region towards the point (1,0) i. Review graph options: The correct graph for this solution should show a solid circle Which of the following graphs represents the solution set of the 5 inequality y 3*+2? a. Option C is the correct option. Where is the solution set of AI generated content may present inaccurate or offensive content that does not represent Symbolab's view. ] \(0x=0\), one solution for each number: \(x\) In each case the linear operator is a \(1\times 1\) matrix. gchdjs ctrpx iltjzh ztzmw hco tqzkci gvniw abznsr osv jver