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Chapter 4: Q. 673 (page 573)

In the following exercises, write the inequality shown by the shaded region.

Write the inequality shown by the graph with the boundary line

y=23x-3

Short Answer

Expert verified

The inequality shown by the graph isy猢�23x-3

Step by step solution

01

Step 1. Given Information

A graph with boundary line y=23x-3is given.

We have to find the inequality the graph represents.

02

Step 2. Definition of a solution

An ordered pair (x,y)is a solution of the linear inequality if the pair of values satisfy the inequality when substituted.

03

Step 3. Determining the inequality

The boundary line y=23x-3has one side of the points satisfying y<23x-3and other side satisfying y>23x-3.

Consider a point in the shaded area in the given graph.

Let us consider .

Check which inequality the point satisfies.

y<23x-3鈬�0<0-3鈬�0<-3 False.

y>23x-3鈬�0>0-3鈬�0>-3 True.

Since the boundary line is marked with a solid line, equal to sign is also included.

Therefore the inequality graph represents is y猢�23x-3.

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