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Chapter 4: Q. 144 (page 551)

Graph the linear inequality y鈮�23x-5.

Short Answer

Expert verified

The graph of the inequality y鈮�23x-5is:

Step by step solution

01

Step 1. Given information

We have been given an inequality y鈮�23x-5.

We have to graph this inequality.

02

Step 2. Identify and graph the boundary line

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

y=23x-5

Since the inequality sign is 鈮�, we will draw a solid line.

03

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

Substitute the origin in the given inequality

y鈮�23x-50鈮�?23(0)-5y鈮�-5

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

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