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Math 095 - Intermediate Algebra - Prairie State College

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Objective 10: Solve inequalities and systems of inequalities in two variables. Sketch the<br />

graphs of the solution sets.<br />

27. Which one of the graphs shown below illustrates the solution set of the following<br />

system of inequalities<br />

6x + 2y < 4<br />

y + 3 ≥ 2x<br />

(a)<br />

y<br />

(b)<br />

y<br />

8<br />

8<br />

6<br />

6<br />

4<br />

4<br />

2<br />

-8 -6 -4 -2 2 4 6 8<br />

-2<br />

x<br />

2<br />

-8 -6 -4 -2 2 4 6 8<br />

-2<br />

x<br />

-4<br />

-4<br />

-6<br />

-6<br />

-8<br />

-8<br />

(c)<br />

y<br />

(d)<br />

y<br />

8<br />

8<br />

6<br />

6<br />

4<br />

4<br />

2<br />

-8 -6 -4 -2 2 4 6 8<br />

-2<br />

x<br />

2<br />

-8 -6 -4 -2 2 4 6 8<br />

-2<br />

x<br />

-4<br />

-4<br />

-6<br />

-6<br />

-8<br />

-8<br />

8

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