Special Inequalities

 $\frac{1}{2}f+\frac{3}{4}\ge\frac{1}{4}f$ 
Solve the inequality.

•  $f\ge-3$  

•  $f\le-3$  

•  $f\le3$  

•  $f\ge3$  

 $4.5+1.3t>3.8t-3$  
Solve the inequality.

•  $t<3$  

•  $t>3$  

•  $t>-3$  

•  $t<-3$  

 $-5\left(k-1\right)\ge5\left(2-k\right)$  
Solve the inequality.

• no solution

• all real numbers

 $-7x-10+5x\ge3\left(x+4\right)+8$  
Solve the inequality.

•  $x\le-6$  

•  $x\ge-6$  

•  $x\le6$  

•  $x\ge6$  

 $5\le4b-3\le9$  
Solve the compound inequality.

•  $2\le b\le3$  

•  $-2\le b\le-3$  

•  $-2\le b\le3$  

•  $2\le b\le-3$  

 $2a-5<-5\ OR\ 3a-2>1$  
Solve the compound inequality.

•  $a<0\ OR\ a>1$  

•  $a>0\ OR\ a<1$  

•  $a<0\ or\ a>-1$  

•  $a>0\ OR\ a<-1$  

Write the compound inequality shown by the graph.

• $-6<r\le5$

• $-6\le r<5$

• $-6<r<5$

• $-6\le r\le5$

 $\left|x-\frac{1}{2}\right|+9>10\frac{1}{2}$  
Solve the inequality.

•  $x<-1\ OR\ x>2$  

•  $x>-1\ OR\ x<2$  

•  $-1<x<2$  

•  $-2<x<1$  

 $\left|x-2.4\right|+4\le6.4$  
Solve the inequality.

•  $0\le x\le4.8$  

•  $-4.8\le x\le0$  

•  $x\le0\ OR\ x\ge4.8$  

•  $x\le-4.8\ OR\ x\ge0$  

 $\left|x-5\right|+\frac{1}{3}>-1$  
Solve the inequality.

• all real numbers

• no solution