SOLUTION: x-3/x+5<=0.solve the rational inequality. write the solution set in interval notation.

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Question 787119: x-3/x+5<=0.solve the rational inequality. write the solution set in interval notation.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-3%29%2F%28x%2B5%29%3C=0
%28x-3%29%3C=0%28x%2B5%29
x-3%3C=0
x%3C=3
since given denominator x%2B5 we need to find x that makes denominator equal to zero and exclude that value from solution because denominator could not be equal to zero
x%2B5=0 => x=-5
so, the solution set in interval notation:
-5%3Cx%3C=3 or
(-5,3]