### About System of Linear Inequalities:

Once we have mastered graphing a linear inequality in two variables, we move into graphing a system of linear inequalities in two variables. In order to do this, we graph each inequality separately. We then look for sections of the coordinate plane, where the graphs overlap.

Test Objectives

- Demonstrate the ability to graph a linear inequality in two variables
- Demonstrate the ability to graph a system of linear inequalities in two variables
- Demonstrate the ability to check the solution for a system of linear inequalities

#1:

Instructions: Graph each system of linear inequalities.

a) x + 3y ≤ 6 : x - y ≤ 2

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#2:

Instructions: Graph each system of linear inequalities.

a) x > -1 : x - y ≤ 2

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#3:

Instructions: Graph each system of linear inequalities.

a) x - 2y > 4 : 2x - 4y > -8

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#4:

Instructions: Graph each system of linear inequalities.

a) x + y > 3 : x + y < -2

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#5:

Instructions: Graph each system of linear inequalities.

a) x - 2y > 2 : x - 2y ≤ 6

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Written Solutions:

#1:

Solutions:

a) x + 3y ≤6, x - y ≤ 2

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#2:

Solutions:

a) x > -1, x - y ≤ 2

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#3:

Solutions:

a) x - 2y > 4, 2x - 4y > -8

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#4:

Solutions:

a) no solution

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#5:

Solutions:

a) x - 2y > 2, x - 2y ≤ 6