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Home > CCA > Chapter 9 > Lesson 9.3.1 > Problem 9-70

9-70.
  1. Represent the solutions to the inequalities below on a number line. 9-70 HW eTool (CPM). Homework Help ✎

    1. 3x − 2 < 10

    2. 5x − 1 − 3x ≥ 4x + 5

    3. 2(x + 2) > 10 − x

    4. 4(x − 3) + 5 ≥ −7

Find the boundary point.
3x − 2 = 10
3x = 12
x = 4

Test numbers on both sides of the boundary point.

3(0) − 2 < 10 3(5) − 2 < 10
0 − 2 < 10 15 −2 < 10
−2 < 10 13 < 10
True False

Follow the steps in part (a).

Isolate x on one side and then find the boundary point.

Follow the steps in part (a).

Follow the steps in part (c).

Use the eTool below to complete the number lines.
Click the link at right for the full version of the eTool: CCA 9-70 HW eTool