### Home > INT1 > Chapter 10 > Lesson 10.2.3 > Problem 10-108

10-108.

Solve each inequality below. Represent the solutions on number lines.

Find the boundary point.

7*x*− 2 = 3 + 2*x*Solve for

*x*.

5*x*= 5*x*= 1Test numbers on both sides of 1.

7(0) − 2 < 3 + 2(0) 7(2) − 2 < 3 + 2(2)

0 − 2 < 3 + 0 14 − 2 < 3 + 4

−2 < 3 12 < 7

True False*x*< 1

Follow the steps in part (a).

Follow the steps in part (a).

Follow the steps in part (a).

Does this inequality have a solution?

Use the eTool below to represent the solutions on number lines.

Click the link at right for the full version of the eTool: Int1 10-108 HW eTool