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