Solve 2x + 9 < 17 and 14 < –7 + 3x. 2x + 9 < 17

–9 –9

2x < 8

x < 4

and
14 < – 7 + 3x

+7 +7

21 < 3x

7 < x

Use the work to complete the sentences describing the solution set to the compound inequality 2x + 9 < 17 and 14 < –7 + 3x.

The graph of x < 4 is
.

The graph of 7 < x is
.

Because this is an “and” compound inequality, solutions satisfy
.

The solution set to the compound inequality is
.