### Home > INT1 > Chapter 10 > Lesson 10.2.3 > Problem10-108

10-108.

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

1. $7x – 2 < 3 + 2x$

Find the boundary point.
7x − 2 = 3 + 2x

Solve for x.
5x = 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

1. $\frac{1}{3}x\ge2$

Follow the steps in part (a).

1. $3(2m-1)-5m\le-1$

Follow the steps in part (a).

1. $2k+3\le2k+1$

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