# How do you solve #abs(1/2x-1)<=3#?

##### 1 Answer

Mar 17, 2017

#### Answer:

#### Explanation:

The solution to

# |x|<=a# is#-a<=x<=a# We can apply this to the question here.

#-3<=1/2x-1<=3# To solve, isolate x in the central interval while leaving numeric values in the end intervals.

add 1 to ALL 3 intervals.

#-3+1<=1/2xcancel(-1)cancel(+1)<=3+1#

#rArr-2<=1/2x<=4# multiply ALL 3 intervals by 2

#rArr-4<=x<=8" is the solution"#