How to solve 2 absolute value inequalities #abs(x+1)+abs(x-1)<=2#?
With respect to the two absolute value expressions
there are two values of
This gives us three ranges to consider:
Case 1 :
so the original inequality can be re-written as
The only value that satisfies
Of the two terms involving
This is true for all values of
Both of the terms involving
Combining all three cases we get
as the solution range.