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Chapter 4: Q. 512 (page 556)

Write the inequality shown by the graph with the boundary line y=12x+1.

Short Answer

Expert verified

y鈮�12x+1

Step by step solution

01

Step 1. Given information 

We have been given a graph.

We have to write the inequality shown by the graph.

02

Step 2. Find the inequality representing the shaded region

The line y=12x+1is the boundary line.

On one side of the line are the points with y>12x+1and on the other side of the line are the points with y<12x+1.

Let鈥檚 test the point (0, 0) and see which inequality describes its side of the boundary line.

At (0, 0) , which inequality is true:

y>12x+10>?12(0)+10鈮�1 or y<12x+10<?12(0)+10<1

So the side with (0, 0) is the side where y<12x+1.

Since the boundary line is graphed as a solid line, the inequality includes an equal sign.

The graph shows the solution to the inequality y鈮�12x+1.

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