Solve the systems of inequalities by graphing ### Linear Inequalities and Graphing**Given Inequalities:**1. \( x \leq 4 \)2. \( y > -3x + 12 \)3. \( y \leq 9 \)**Graph Explanation:**The image is a coordinate plane marked with a grid. The grid serves as a template for plotting lines and shading regions to represent the solution set of the given inequalities.1. **\( x \leq 4 \):** - This inequality represents a vertical line at \( x = 4 \). The region to the left of (and including) this line is the solution set.2. **\( y > -3x + 12 \):** - The line \( y = -3x + 12 \) is a boundary line with a slope of -3 and a y-intercept of 12. The inequality \( y > -3x + 12 \) indicates the region above this line is included in the solution set. This line should be dashed on the graph to indicate that it is not included in the solution set (since it's a ">" inequality).3. **\( y \leq 9 \):** - This inequality is a horizontal line at \( y = 9 \). The region below (and including) this line is included in the solution set.**Shaded Region:**The solution set of these inequalities is the region of the graph where the shaded areas of all three inequalities overlap. This region would be bounded by the line \( x = 4 \), the line \( y = -3x + 12 \), and the line \( y = 9 \). The final shaded area represents all the points \((x, y)\) that satisfy all three inequalities simultaneously.

Answered: 3. x≤4 y > y ≤ 9 - 3x + 12 Y

3. x≤4 y > y ≤ 9 - 3x + 12 Y

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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