### About Graphing Inequalities:

When we graph a linear inequality in two variables, we have two different approaches. We can solve for y, graph the boundary line, and shade above the line for a greater than or below the line for a less than. We can also graph the boundary line and use a test point.

Test Objectives

- Demonstrate the ability to draw the boundary line
- Demonstrate the ability to graph an inequality with the test point method
- Demonstrate the ability to graph an inequality by solving for y

#1:

Instructions: Graph each.

a) 5x + 3y > -9

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#2:

Instructions: Graph each.

a) y > -3

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#3:

Instructions: Graph each.

a) 2x + 3y < 9

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#4:

Instructions: Graph each.

a) x ≥ 1

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#5:

Instructions: Graph each.

a) 5x - 3y ≥ 0

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Written Solutions:

#1:

Solutions:

a) 5x + 3y > -9

Watch the Step by Step Video Solution

#2:

Solutions:

a) y > -3

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#3:

Solutions:

a) 2x + 3y < 9

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#4:

Solutions:

a) x ≥ 1

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#5:

Solutions:

a) 5x - 3y ≥ 0