SOLUTION: |x+1|=x+1

Algebra ->  Absolute-value -> SOLUTION: |x+1|=x+1      Log On


   

Question 909501: |x+1|=x+1
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Either x%2B1%3E=0 OR x%2B1%3C0.
Solve for each case.

That will mean, either abs%28x%2B1%29=x%2B1 or abs%28x%2B1%29=-%28x%2B1%29.

(I give this unfinished and you can use this to continue and finish.)

The nonzero case: x%2B1=x%2B1 will be true for all values as long as x%2B1%3E0,
x%3E-1 ------so this is part of the solution.

The zero case: -x-1=x%2B1
-x-x=1%2B1
-2x=2
x=-1-------another part of the solution.

Putting these two together will be all of the solution set, since they both work.
highlight%28x%3E=-1%29.