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s 84 Match the graphs with their inequalities: Plot -3 -2 -1 do -3 -2 -1 PH -1 2 -3+ 43 3+ eig 2 1 7 -1 2 45 2 1 -1 A) 1 2 1 2 Inequality a.y≤z +2 b.y>z-2 c. y + 2z> 1 d. 2y+z<1 e.z>y-2 f. y + 2z <1 g.z≥y+2

s 84 Match the graphs with their inequalities: Plot -3 -2 -1 do -3 -2 -1 PH -1 2 -3+ 43 3+ eig 2 1 7 -1 2 45 2 1 -1 A) 1 2 1 2 Inequality a.y≤z +2 b.y>z-2 c. y + 2z> 1 d. 2y+z<1 e.z>y-2 f. y + 2z <1 g.z≥y+2

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Graph and Inequality Explanation The task is to match each graph with its corresponding inequality. There are three graphs and a list of inequalities labeled from (a) to (g). #### Graph Descriptions: 1. **First Graph:** - The shaded region is above the line, which has a positive slope. - The line passes through approximately (0, 2) on the y-axis and approximately (-2, 0) on the x-axis. - The line style suggests a solid boundary. 2. **Second Graph:** - The shaded region is above the line, which has a negative slope. - The line passes through approximately (0, -2) on the y-axis and (2, 2) on the x-axis. - The style indicates a solid boundary line. 3. **Third Graph:** - The shaded region is above the line with a positive slope. - The line passes through approximately (0, 1) on the y-axis and (-2, -2) on the x-axis. - The line also appears to have a solid boundary. #### List of Inequalities: These inequalities (a-g) need to be matched with the graphs: a. \( y \leq x + 2 \) b. \( y \geq 2 - 2x \) c. \( y + 2x \geq 1 \) d. \( 3y + x \leq 1 \) e. \( x \geq y - 2 \) f. \( y + 2x \leq 1 \) g. \( x \geq y + 2 \) ### Matching Instructions: - Examine the slope and intercepts of each graph to determine which inequality corresponds. - Solid lines indicate inclusive inequalities (≤ or ≥). - Analyze the direction of the shading to distinguish between 'greater than' or 'less than' inequalities.
Transcribed Image Text:### Graph and Inequality Explanation The task is to match each graph with its corresponding inequality. There are three graphs and a list of inequalities labeled from (a) to (g). #### Graph Descriptions: 1. **First Graph:** - The shaded region is above the line, which has a positive slope. - The line passes through approximately (0, 2) on the y-axis and approximately (-2, 0) on the x-axis. - The line style suggests a solid boundary. 2. **Second Graph:** - The shaded region is above the line, which has a negative slope. - The line passes through approximately (0, -2) on the y-axis and (2, 2) on the x-axis. - The style indicates a solid boundary line. 3. **Third Graph:** - The shaded region is above the line with a positive slope. - The line passes through approximately (0, 1) on the y-axis and (-2, -2) on the x-axis. - The line also appears to have a solid boundary. #### List of Inequalities: These inequalities (a-g) need to be matched with the graphs: a. \( y \leq x + 2 \) b. \( y \geq 2 - 2x \) c. \( y + 2x \geq 1 \) d. \( 3y + x \leq 1 \) e. \( x \geq y - 2 \) f. \( y + 2x \leq 1 \) g. \( x \geq y + 2 \) ### Matching Instructions: - Examine the slope and intercepts of each graph to determine which inequality corresponds. - Solid lines indicate inclusive inequalities (≤ or ≥). - Analyze the direction of the shading to distinguish between 'greater than' or 'less than' inequalities.
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