Chapter 4: Q. 144 (page 551)

Graph the linear inequality $y \leq \frac{2}{3} x - 5$ .

Short Answer

Expert verified

The graph of the inequality $y \leq \frac{2}{3} x - 5$ is:

Step by step solution

Step 1. Given information

We have been given an inequality $y \leq \frac{2}{3} x - 5$ .

We have to graph this inequality.

Step 2. Identify and graph the boundary line

Replace the inequality sign with an equal sign to find the boundary line.

$y = \frac{2}{3} x - 5$

Since the inequality sign is $\leq$ , we will draw a solid line.

Step 3. Test the origin (0,0) for the region as the solution

Substitute the origin in the given inequality

$y \leq \frac{2}{3} x - 5 0 \overset{?}{\leq} \frac{2}{3} (0) - 5 y ≰ - 5$

Therefore, shade the region that does not contain the origin.

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Graph the linear inequality $y \leq \frac{2}{3} x - 5$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify and graph the boundary line

Step 3. Test the origin (0,0) for the region as the solution

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Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify and graph the boundary line

Step 3. Test the origin (0,0) for the region as the solution

One App. One Place for Learning.

Most popular questions from this chapter

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Graph the linear inequality $y \leq \frac{2}{3} x - 5$ .