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Home > CC4 > Chapter 11 > Lesson 11.1.2 > Problem 11-21

11-21.
  1. Solve the following inequalities. Explain or justify your steps for part (a). Homework Help ✎

  2. a.

    4x − 1 > 7

    b.

    3 − 2x < x + 6

    c.

    2(x − 5) < 8

    d.

    x > 5

Solve as an equation to find the boundary point.
Check points in each region to determine which region is the solution.

x ≥ 2

Use the same method as part (a).

x > -1

Distribute before solving.

Multiply the whole inequality by 2 to cancel out the fraction.