Question

(x-2)/(x+2) < 0
i'm stuck, please show work so that I can check the steps

Answer 1

check two points 2 , -2

Answer 2

Break this up into the cases where the signs of the different terms change.

Look at
* x < -2
* -2 < x < 2
* x > 2

and see if the inequality is satisfied.

Answer 3

doint make the mistake multiply by (x+2) as u will miss some of the solutions

Answer 4

\[When\ (x-2) \ge 0, x + 2 >0, so\ {x-2 \over x+2}\ge0\] \[When\ (x+2) < 0, (x - 2) <0, so\ {x-2 \over x+2}>0\]
so, -2<x<2