1. ## inequalities

Solve each inequality and graph its solution.

A) ?5)8+r > 3 B) ? 6)-8k+6 < 94
4

-1 0 1 2 3 4 5 6 7 - 13 -12 -11 -10 -9 -8 -7

2. $\displaystyle \frac{8+r}{4}\geq 3$

$\displaystyle 8+r\geq 12$

$\displaystyle r\geq 4$

3. $-8k+ 6\le 94$

There are two ways to do this:
1) Add 8k to both sides- $\6\le 94+ 8k$. Then subtract 94 from both sides- $6- 94= -88\le 8k$. Finally, divide both sides by 8- $-88/8= -11\le k$.

or

2) Subtract 6 from both sides; $-8k\le 94- 6= 88$. Divide both sides by -8 but remember that when you multiply or divide an inequality by a negative number you must "reverse" the inequality sign- $k\ge 88/8= 11$