SOLUTION: Hi, here's my question on inequalities. |x/(x+2)|<=2 In case the pipe characters don't work, that should be the absolute value of the fraction. Thanks.

Algebra ->  Inequalities -> SOLUTION: Hi, here's my question on inequalities. |x/(x+2)|<=2 In case the pipe characters don't work, that should be the absolute value of the fraction. Thanks.      Log On


   

Question 105626This question is from textbook
: Hi, here's my question on inequalities.
|x/(x+2)|<=2
In case the pipe characters don't work, that should be the absolute value of the fraction.
Thanks. This question is from textbook

Answer by BurningFlame_marc(77) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
|x/(x+2)|<=2 for this question, there are 2 cases.
Case #1
x/(x+2)<=2
x<=2(x+2)
x<=2x+4
-x<=4
x>=-4
The answer in case #1 is -4

Case #2
x/(x+2)>=-2
x>=-2(x+2)
x>=-2x+-4
3x>=-4
x>=-4/3
The answer in case #2 is -4/3
The answers are -4 and -4/3.
I hope I helped you!