☺ Sketch the araph of each inequality: a.) 4x +3y&12 b.) y z 12x-41 e) (x-2)? +ly-)e

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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**Graphing Inequalities**

1. **Sketch the graph of each inequality:**

   a. \(4x + 3y \leq 12\)

   b. \(y \geq |2x - 4|\)

   c. \((x - 2)^2 + (y - 1)^2 < 16\)

**Instructions:**

- For part (a), graph the line \(4x + 3y = 12\) and shade the region below the line to indicate where the inequality holds true.
- For part (b), graph the absolute value function \(y = |2x - 4|\) and shade the region above the graph.
- For part (c), identify the region inside the circle centered at (2, 1) with a radius of 4 and shade this region to indicate where the inequality is satisfied.
Transcribed Image Text:**Graphing Inequalities** 1. **Sketch the graph of each inequality:** a. \(4x + 3y \leq 12\) b. \(y \geq |2x - 4|\) c. \((x - 2)^2 + (y - 1)^2 < 16\) **Instructions:** - For part (a), graph the line \(4x + 3y = 12\) and shade the region below the line to indicate where the inequality holds true. - For part (b), graph the absolute value function \(y = |2x - 4|\) and shade the region above the graph. - For part (c), identify the region inside the circle centered at (2, 1) with a radius of 4 and shade this region to indicate where the inequality is satisfied.
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