Absolute value inequalities

 $\left|3b-2\right|\le8$  Solve the absolute value inequality.

•  $b\ge2\ \ \ or\ \ \ b\le\frac{5}{2}$  

•  $-3\le b\le5$  

•  $-2\le b\le\frac{10}{3}$  

•  $b\le-3\ \ \ or\ \ \ b\ge5$  

Solve the absolute value inequality.

  $\left|2+2k\right|\ge8$  

•  $k>1\ \ or\ \ k<-4$  

•  $-4<k<1$  

•  $-5\le k\le2$  

•  $k\ge3\ \ or\ \ k\le-5$  

 $<\ and\ \le\ are\ which\ types\ of\ graphs?$  

• AND graphs

• OR graphs

Solve the absolute value inequality. $\left|-4m+1\right|>11$  

•  $m<-\frac{5}{2}\ OR\ \ m>3$  

•  $-1\le m\le\frac{8}{3}$  

•  $m\le-1\ \ or\ \ m\ge\frac{8}{3}$  

•  $m>\frac{16}{5}\ \ or\ \ \ m<-2$  

 $\left|n+5\right|\le11$  Solve, then choose the correct graph.

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 $>\ and\ \ge\ Are\ which\ type\ of\ graph?$  

• AND graphs

• OR graphs 

 $\left|6m-4\right|>16$  Solve the inequality.

•  $-8<m<5$  

•  $m>\frac{10}{3}\ \ \ or\ \ \ m<-2$  

•  $m>\frac{28}{5}\ \ or\ \ m<-6$  

•  $-2<m<\frac{10}{3}$  

Solve the absolute value inequality and choose the correct graph. $\left|-4b+6\right|\le14$  

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 $\left|n+1\right|+3\ge4$  Solve.

•  $-6<n<-3$  

•  $-2\le n\le\frac{10}{3}$  

•  $n\ge\frac{10}{3}\ \ or\ \ n\le-2$  

•  $n\ge0\ \ \ or\ \ \ \ n\le-2$  

Solve, then choose the correct graph. $\left|2x+6\right|+5>19$  

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