Solving absolute value equations and inequalities

Everything is positive

Everything is negative

Distance away from zero

x=6

x=3

x=6 or x=2

x=3 or x=-13

x=2 or x= -16

x=-16

x=16 

x=2

x= -4  or  x=4

x=-1 or x = 9

x= 6 or x= -6

x=-4 or x=5

x= 12

x=0  or x=12

x= -20  or x=20

x= -8

x= 10 or x=-9

x=2  or x= -6

x= -4  or  x=6

x= -2

-17 < x < 3

x < -17  or  x > 3

x > 3

x < -17

 $x\le-5\ \ or\ \ \ x\ge1$  

 $x\le-5$  

 $x>1$  

 $-5<x<1$  

 $x\le-1\ \ or\ \ \ x\ge-3$  

 $x\le-5$  

 $x<-3\ \ or\ \ \ x>-1$  

 $-5<x<1$  

 $-10<x<-4$  

 $-12<x<-2$  

 $1\le x\le13$  

 $1<x<13$  

 $0<x<2$  

 $-2<x<0$  

 $-2\le x\le0$  

 $9<x\le-14$  

 $-14<x<-9$  

 $-9\le x\le14$