### Home > CCA > Chapter 9 > Lesson 9.2.1 > Problem 9-51

9-51.

Solve each of the following inequalities for the given variable. Represent your solutions on a number line.

*9-51 HW eTool*(CPM). Homework Help ✎2(3

*p*+ 1) > −49

*k*− 2 < 3*k*+ 105 −

*h*≥ 4

Solve the equation

2(3*p* + 1) = −4 to find the boundary point.

Test values on both sides of the boundary point (*p* = −1) to determine the solution region.

2(3(−2) + 1) > −4 2(3(0) +1) > −4

2(−5) > −4 2(1) > −4

−10 > −4 2 > −4

False True

Use the eTool below to represent your solutions on a number line.

Click the link at right for the full version of the eTool: CCA 9-51 HW eTool