Question 503811
Consider:
2|x-8|+2<=12
as TWO different problems:
.
First problem:
2(x-8)+2<=12
Second problem:
2(-(x-8))+2<=12
.
Solving First:
2(x-8)+2<=12
2x-16+2<=12
2x-14<=12
2x<=26
x<=13
.
Solving Second:
2(-(x-8))+2<=12
2(-x+8)+2<=12
(-2x+16)+2<=12
-2x+18<=12
-2x<=-6
2x>=6  (notice we flipped the less than sign)
x>=3
.
answer:
3<=x<=13