### Home > AC > Chapter 11 > Lesson 11.1.6 > Problem 11-75

11-75.

Solve the following inequalities for

*x*. Graph your solutions on a number line. Homework Help ✎3

*x*− 5 < 7 + 2*x*|

*x*| − 3 < 75(2 −

*x*) + 6 > 16|

*x*+ 2 | > 3

Treat the inequality like an equation, then solve to find the boundary point.

Graph the point on a number line then test another point to see which way to shade.

*x* ≤ 12

Solve for the absolute value of *x*, then make two equations.

Test numbers to determine which region is the solution.

− 10 < *x* < 10

Distribute, then solve for *x*.

*x* < 0

Solve *x* + 2 = 3 and *x* + 2 = −3 to find the boundary points.