### Home > CC3MN > Chapter 10 > Lesson 10.1.1 > Problem10-7

10-7.

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.

$2(3(−2) + 1) > −4$
$2(−5) > −4$
$−10 > −4$
False

$2(3(0) +1) > −4$
$2(1) > −4$
$2 > −4$
True

1. $9k - 2 < 3k + 10$

1. $5 - h ≥ 4$

Use the eTool below to represent your solutions on a number line.
Click the link at right for the full version of the eTool: 10-7 HW eTool (CPM)