SOLUTION: (1/(x+2))+(2/(x-3))<=1 here is my work: ((x-3)+2(x+2)-((x+2)(x-3)))/((x+2)(x-3))<=0 you then simplify to get: (-x^2 +2x +7)/((x+2)(x-3))<=0 but when you use the quadratic eq

Question 32056: (1/(x+2))+(2/(x-3))<=1
here is my work:
((x-3)+2(x+2)-((x+2)(x-3)))/((x+2)(x-3))<=0
you then simplify to get:
(-x^2 +2x +7)/((x+2)(x-3))<=0
but when you use the quadratic equation it is very ugly.
Thank you,
Alexus
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let's see:
Add the fractions on the left.
Multiply both sides by
Simplify.
Subtract from both sides.
or
Begin by solving the quadratic equationSolve for x using the quadratic formula.
Simplify.

The x-intercepts are:

But since we are solving: we are looking for x-values with positve y-values. Looking at the graph of the quadratic equation:

The solution set is
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