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Chapter 4: Q. 548 (page 558)

Graph the linear inequality.

y>-2x+1.

Short Answer

Expert verified

The graph for the linear inequalityy>-2x+1 is,

Step by step solution

01

Step 1. Given information

y>-2x+1.

We need to draw a graph for the given linear inequality.

02

Step 2. First we have to graph the boundary line y=-2x+1.

Here, the inequality is >. So, we should draw a dash line.

03

Step 3. We need to test a point with 1,0.

Substitute x=1,y=0in the given inequality.

y>-2x+10>-21+10>-2+10>-1

which is true.

Therefore, 1,0is a solution to y>-2x+1.

So, we shade the side that include1,0.

04

Step 4. Now draw a graph for the given inequality.

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