Explanation Given: The equation is − 3 x + y ≥ 0 . Graph: Procedure for Graphing the inequality. Step 1: Replace the provided inequality by an equals sign. This equation will be the boundary for the region. Step 2: Now, graph the line obtained in above step. Use dashed line if original inequality contains a < or > sign. Use a solid line if the original inequality contains a ≤ or ≥ sign. Step 3: Choose a test point which does not lie on boundary line. Substitute those coordinates in original inequality. If a true inequality is obtained, then shade the region on the side of the line containing the test point and if the obtained inequality is false, then shade the region on the side of line which is opposite to the test point. Now, consider the equation − 3 x + y > 0 Following the above steps: Firstly, the boundary line is − 3 x + y = 0 . Secondly, graph − 3 x + y = 0 using a dashed line because the inequality contains > . The graphs for the equations are made by constructing tables for the equations with values of x and y. For equation − 3 x + y = 0 : Substitute 0 for x , − 3 ( 0 ) + y = 0 y = 0 Substitute 1 for x , − 3 ( 1 ) + y = 0

Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

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Author: John Tobey, Jeffrey Slater

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Question

Chapter 3.4, Problem 15E

To determine

To graph: The inequality −3x+y>0.

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Chapter 3.4, Problem 14E

Chapter 3.4, Problem 16E

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