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Home > CCA > Chapter 9 > Lesson 9.4.1 > Problem 9-95

9-95.
  1. Solve each inequality below. Represent the solutions on number lines. 9-95 HW eTool (CPM). Homework Help ✎

    1. 7x − 2 < 3 + 2x

    2. 1/3xx ≥ 2

    3. 3(2m − 1) − 5m ≤ −1

    4. 2k + 3 ≤ 2k + 1

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

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: CCA 9-95 HW eTool