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

11-127.

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

5

*x*− 7 > 2*x*+ 56

*x*− 29 > 4*x*+ 12*x*^{2}< −4*x*+ 5> 31

*x* ≥ 4

*x*^{2} = −4*x* + 5

*x*^{2} + 4*x* − 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:

2*x* − 7 = 31

2*x* − 7 = −31

*x* > 19 or *x* < −12