SOLUTION: Solution to inequality X^2/x+2<12-x/x+2

Algebra ->  Test  -> Lessons -> SOLUTION: Solution to inequality X^2/x+2<12-x/x+2      Log On


   



Question 764938: Solution to inequality
X^2/x+2<12-x/x+2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solution to inequality
X^2/x+2<12-x/x+2
x%5E2%2F%28x%2B2%29%3C%2812-x%29%2F%28x%2B2%29
x%5E2%2F%28x%2B2%29-%2812-x%29%2F%28x%2B2%29%3C0
%28x%5E2%2Bx-12%29%2F%28x%2B2%29%3C0
%28x%2B4%29%28x-3%29%2F%28x%2B2%29%3C0
..
number line:
<...-...-4...+.....-2...-....3....+......>
solution:
(-∞,-4) U (-2,3)