### Home > AC > Chapter 10 > Lesson 10.2.1 > Problem10-54

10-54.

Solve the inequalities below. Write each solution as an inequality.

1. $8+3x>2$

Change the inequality to an equation and solve for $x$.

$\begin{array}{r} 8 + 3x = 2 \phantom{-}\\ 3x = -6 \\ x = -2 \end{array}$

Test both sides of the boundary point.
$8+3(-3)>28+3(-1)>2$
$8-9>28-3>2$
$-1>25>2$
False     True

$x>-2$

1. $\frac{2}{3}x-6\le2$

Follow the steps in part (a).

$x\le12$

1. $-2x-1<-3$

Follow the steps in part (a).

1. $\frac{5}{x}\le\frac{1}{3}$

Follow the steps in part (a).

$x\ge15$