### Home > CC4 > Chapter 10 > Lesson 10.2.3 > Problem 10-108

10-108.

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

*10-108 HW eTool*(CPM). Homework Help ✎7

*x*– 2 < 3 + 2*x**x*≥ 23(2

*m*– 1) – 5*m*≤ –12

*k*+ 3 ≤ 2*k*+ 1

Find the boundary point.

7*x* − 2 = 3 + 2*x*

Solve for *x*.

5*x* = 5*x* = 1

Test 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