Review absolute value equations and inequalities

Solve:
 $2\left|3x-4\right|+8=6$  

•  $\phi$  

•  $\left\{\frac{5}{3},1\right\}$  

•  $\left\{-1,1\right\}$  

•  $\left\{6,-10\right\}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve:
 $4\left|7y+2\right|-8=-7$  

•  $\phi$  

•  $\left\{-\frac{1}{7},-\frac{3}{7}\right\}$  

•  $\left\{0,8\right\}$  

•  $\left\{-\frac{1}{4},-\frac{9}{28}\right\}$  

Solve:
 $8x=2\left|6x-2\right|$  

•  $\phi$  

•  $\left\{1,\frac{1}{5}\right\}$  

•  $\left\{1\right\}$  

•  $\left\{\frac{1}{5}\right\}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve:
 $-3y-2=\left|6y+25\right|\$  

•  $\phi$  

•  $\left\{-4,7\right\}$  

•  $\left\{-3,-\frac{23}{3}\right\}$  

•  $\left\{\frac{23}{9},9\right\}$  

Solve:
 $3\left|2x-4\right|-6>12$  

• (-1,5)

•  $\left(-\infty,-1\right)\cup\left(5,\infty\right)$  

•  $\left(-\infty,-5\right)\cup\left(1,\infty\right)$  

•  $\left(-\infty,\infty\right)$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:
 $6\left|4x+2\right|-8<34$  

•  $\left(-\frac{9}{4},\frac{5}{4}\right)$  

•  $\left(\frac{1}{6},\frac{5}{4}\right)$  

•  $\left(\frac{5}{4},-\frac{9}{4}\right)$  

•  $\left(-\infty,\infty\right)$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3