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Chapter 5: Q46. (page 324)

Graph each inequality.y<2x+1

Short Answer

Expert verified

A graph of given inequality is

Step by step solution

01

Step 1. Write steps to graph inequality.

1. If an inequality contains <or>, then use dotted line and if an inequality contains 鈮�or鈮�, then use solid line.

2. Use test point to determine which half plane should be shaded.

3. Shade the half plane that contains the solution.

02

Step 2. Select a test point.

Let (0,0)be a test point. Substitute 0 for xand 0 for yinto y<2x+1.

role="math" localid="1647505236606" 0<2(0)+10<1

Therefore, the half plane containing the origin is the solution.

03

Step 3. Graph an inequality.

Graph an inequality, y<2x+1and shade the half plane containing test point.

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