Absolute Value Inequality Practice

How should we set up the following inequality in order to solve it? $\left|x-5\right|<8$  

•  $-8<x-5<8$  

•  $x-5<-8\ \ or\ \ x-5>8$  

•  $-8>x-5>8$  

•  $x-5>-8\ \ or\ \ x-5>8$  

How should we set up the following inequality in order to solve it? $\left|2x+1\right|\ge4$  

•  $-4\ge2x+1\ge4$  

•  $2x+1\ge4\ \ or\ \ 2x+1\le-4$  

•  $-4\le2x+1\le4$  

•  $2x+1\ge-4\ \ or\ \ 2x+1\le4$  

How should we set up the following inequality in order to solve it? $\left|3x\right|>9$  

•  $-9>3x>9$  

•  $3x<9\ \ or\ \ 3x>-9$  

•  $-9<3x<9$  

•  $3x>9\ \ or\ \ 3x<-9$  

How should we set up the following inequality in order to solve it? $\left|x-1\right|\le7$  

•  $-7\ge x-1\ge7$  

•  $x-1\le-7\ \ or\ \ x-1\ge7$  

•  $-7\le x-1\le7$  

•  $x-1\le7\ \ or\ x-1\le-7$  

How should we set up the following equation?

 $\left|2x-1\right|>5$  

•  $-5>2x-1>5$  

•  $-5<2x-1<5$  

•  $2x-1>5\ \ or\ \ 2x-1<-5$  

•  $2x-1>5\ \ or\ \ 2x-1>-5$  

How should we set up the following inequality in order to solve it? $\left|2x+1\right|\ge4$

• $-4\ge2x+1\ge4$

• $2x+1\ge4\ \ or\ \ 2x+1\le-4$

• $-4\le2x+1\le4$

• $2x+1\ge-4\ \ or\ \ 2x+1\le4$