Chapter 4: Q. 148 (page 554)

Graph the linear inequality $y \geq - 2 x$ .

Short Answer

Expert verified

The graph of the inequality $y \geq - 2 x$ is:

Step by step solution

Step 1. Given information

We have been given an inequality $y \geq - 2 x$ .

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.

$y = - 2 x$

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

Step 3. Test the point ( 1, 1) for the region as the solution

Substitute ( 1, 1) in the given inequality

$y \geq - 2 x 1 \overset{?}{\geq} - 2 (1) 1 \geq - 2$

Therefore, shade the region that contains the point ( 1, 1).

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Graph the linear inequality $y \geq - 2 x$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify and graph the boundary line

Step 3. Test the point ( 1, 1) for the region as the solution

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Graph the linear inequality y≥-2x.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify and graph the boundary line

Step 3. Test the point ( 1, 1) for the region as the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Graph the linear inequality $y \geq - 2 x$ .