### Home > AC > Chapter 10 > Lesson 10.1.1 > Problem10-9

10-9.

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

1. $5+3x<5$

Find the boundary point. $5+3x=5$

Solve for $x$.
$\begin{array}{l} 3x=0 \\ \; \; x = 0 \end{array}$

Test numbers on both sides of zero.
$\begin{array}{l} 5 + 3(-1) < 55 + 3(1) < 5 \\ 5 − 3 < 55 + 3 < 5 \\ 2 < 58 < 5 \end{array}$
True False

1. $-3x>8-x$

Follow the steps in part (a).