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

10-108.

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

  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

  1. Follow the steps in part (a).

  1. Follow the steps in part (a).

  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