CPM Homework Help : GB8I Problem 9-46

Solve each inequality. Represent the solutions on a number line.

Step 1(a):

Find the boundary point.
$3x − 2 = 10$
$3x = 12$
$x = 4$

Step 2(a):

Test numbers on both sides of the boundary point.

$3(0)−2<10$ $3(5)−2<10$
$0−2<10$ $15−2<10$
$−2<10$ $13<10$
True False

Hint (b):

Follow the steps in part (a).

Hint (c):

Isolate $x$ on one side and then find the boundary point.

Hint 2(c):

Follow the steps in part (a).

Hint (d):

Follow the steps in part (c).

Use the eTool below to complete the number lines.
Click the link at right for the full version of the eTool: 9-46 HW eTool