### Home > CCA > Chapter 9 > Lesson 9.4.1 > Problem9-95

9-95.

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

1.  $7x−2<3+2x$

Find the boundary point.
$7x−2=3+2x$

Solve for $x$.
$5x=5$
$x=1$

Test numbers on both sides of $1$.

$7(0)−2<3+2(0)\ \ \ \ \ \ \ \ \ 7(2)−2<3+2(2)$
$0−2<3+0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 14−2<3+4$
$−2<3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12<7$
True                                           False

$x<1$

1.  $\frac{1}{3}x\ge2$

Follow the steps in part (a).

1.  $3(2m−1)−5m\le−1$

Follow the steps in part (a).

1.  $2k+3\le2k+1$

Follow the steps in part (a).

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: 9-95 HW eTool