Solving Inequalities

Solve the following inequality.  Be sure to graph the solution set on your piece of loose leaf.

 $100\ \le-8m\ +\ 4$  

•  $m\ \le\ -12$  

•  $m\le-6$  

•  $m\ge-12$   

•  $m\le-17$  

Solve the following inequality. Be sure to graph the solution set on your piece of loose leaf.

 $\frac{a}{3}+\ 6\ >\ 3$  

•  $a\ >\ 6$  

•  $a\ >\ -34$  

•  $a\ >\ -9$  

•  $a\ >\ -42$  

Solve the following inequality. Be sure to graph the solution set on your piece of loose leaf.

 $n\ +\ 7\ -\ 4n\ \le\ 10$  

•  $n\ge-15$  

•  $n\le-15$  

•  $n\ge-1$  

•  $n\ge-1$  

Solve the following inequality. Be sure to graph the solution set on your piece of loose leaf.

 $-97\ge3x-2\left(1\ -\ 8x\right)$  

•  $x\le2$  

• All real numbers.

•  $x\le-30$  

•  $x\le-5$  

Solve the following inequality. Be sure to graph the solution set on your piece of loose leaf.

 $-8\ +\ x\ \le\ -5x\ +\ 4$  

• All real numbers.

•  $x\le2$  

•  $x\ge-26$  

•  $x\le-26$  

Solve the following inequality. Be sure to graph the solution set on your piece of loose leaf.

 $-4a\ \le\ a\ -\ \left(6\ +\ 6a\right)$  

•  $a\ge-6$  

•  $a\le-6$  

•  $a\le-25$  

•  $a\ge-25$