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

11-21.

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

a.

4

*x*− 1 > 7b.

3 − 2

*x*<*x*+ 6c.

2(

*x*− 5) < 8d.

*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.