SOLUTION: How do you solve the following: -1 < (2-x)/(2+x) <(less than or equal to) 1 I tried doing them separately but I don't get the answer. The answer is supposed to be x is greate

Algebra ->  Inequalities -> SOLUTION: How do you solve the following: -1 < (2-x)/(2+x) <(less than or equal to) 1 I tried doing them separately but I don't get the answer. The answer is supposed to be x is greate      Log On


   

Question 208036: How do you solve the following:
-1 < (2-x)/(2+x) <(less than or equal to) 1
I tried doing them separately but I don't get the answer. The answer is supposed to be x is greater than or equal to 0.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
multiplying by 2+x ___ -x-2 < 2-x ≤ 2+x

adding x ___ -2 < 2 ≤ 2x+2 ___ you can drop the first term because there it has no effect on the x

subtracting 2 ___ 0 ≤ 2x

dividing by 2 ___ 0 ≤ x