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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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## Graphing Compound Inequalities

The solution sets for compound inequalities are typically intervals, rather than half lines. Here is an example to show why.

Example

Graph 2 x 8.

Solution

Remember that the solution set for the compound inequality is the set of numbers for which both inequalities hold. In the graph, this means that the solution set can be shown as the overlap of the two solution sets for the individual inequalities.

Now try to complete the following exercises.

Exercises

Solve each compound inequality. Then graph the solution set.

1) 2 < x - 8 < 5

{ x | 10 < x < 13 }

2) 4 < 2x < 12

{ x | 2 < x < 6 }

3) 4 3x + 4 < 10

{ x | 0 x < 2 }

4) 7 -x + 1 2

{ x | -6 x -1 }

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