CPM Homework Help : INT1 Problem 10-108

CPM Homework Banner

Home > INT1 > Chapter 10 > Lesson 10.2.3 > Problem 10-108

10-108.

Solve each inequality below. Represent the solutions on number lines.

$7x - 2 < 3 + 2x$
Step 1:
Find the boundary point.
$7x − 2 = 3 + 2x$
Step 2:
Solve for $x$ .
$5x = 5$
$x = 1$
Step 3:
Test numbers on both sides of 1.
$7\left(0\right) − 2 \lt 3 + 2\left(0\right)$
$0 − 2 \lt 3 + 0$
$−2 \lt 3$
True
$7\left(2\right) − 2 \lt 3 + 2\left(2\right)$ $14 − 2 \lt 3 + 4$
$12 \lt 7$
False
Answer (a):
$x \lt 1$

$\frac{1}{3}x\ge2$
Hint (b):
Follow the steps in part (a).

$3(2m-1)-5m\le-1$
Hint (c):
Follow the steps in part (a).

$2k+3\le2k+1$
Hint (d):
Follow the steps in part (a).
More Help (d):
Does this inequality have a solution?

Use the eTool below to represent the solutions on number lines.
Click the link at right for the full version of the eTool: Int1 10-108 HW eTool

© 2022 CPM Educational Program. All rights reserved.