Chapter 4: Q. 4.143 (page 551)

Graph the linear inequality $y \geq \frac{5}{2} x - 4$

Short Answer

Expert verified

The graph is as follows,

Step by step solution

Step 1. Given information

We are given an inequality $y \geq \frac{5}{2} x - 4$ .

We have to graph the given inequality.

Step 2. Identify and graph the boundary line

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

$y = \frac{5}{2} x - 4$

Since the inequality sign is greater than or equal to, we will draw a solid line.

Step 3. Testing the point (0,0) for the region as the solution

Substitute the origin in the given inequality

$y \geq \frac{5}{2} x - 4 0 \geq \frac{5}{2} (0) - 4 0 \geq - 4$

True.

Hence, shade the region that contains the origin.

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Graph the linear inequality $y \geq \frac{5}{2} x - 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify and graph the boundary line

Step 3. Testing the point (0,0) for the region as the solution

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Short Answer

Step by step solution

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Graph the linear inequality $y \geq \frac{5}{2} x - 4$