### Home > CCA > Chapter 9 > Lesson 9.2.1 > Problem9-51

9-51.

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

1. $2(3p+1)>−4$

Solve the equation
$2(3p+1)=−4$ 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

1. $9k−2<3k+10$

1. $5−h\ge4$

Use the eTool below to represent your solutions on a number line.
Click the link at right for the full version of the eTool: 9-51 HW eTool