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Home > CCA > Chapter 11 > Lesson 11.3.5 > Problem 11-127

11-127.
  1. Solve each inequality algebraically. Then represent your solution on a number line. Homework Help ✎

    1. 5x − 7 > 2x + 5

    2. 6x − 29 > 4x + 12

    3. x2 < −4x + 5

    4. > 31

x ≥ 4

x2 = −4x + 5

x2 + 4x − 5 = 0

Factor and use the Zero Product Property to solve for the boundary points. Place the boundary points on a number line then test a point in each region to determine which regions contain the solutions.

Solve two equations to find the boundary points:
2x − 7 = 31
2x − 7 = −31

x > 19 or x < −12