SOLUTION: ((x(x-1)) / (x^2+x-6)) <= 0

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Question 105115This question is from textbook
: ((x(x-1)) / (x^2+x-6)) <= 0 This question is from textbook

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
First find factors of -6 in order to simplify x%5E2+%2B+x+-6.
These are:
1, 2, 3, 6, -1,-2,-3-6
One of these pairs could be used,
%28-1%29%2A%286%29=-6+
%28-2%29%2A%283%29=-6+
and that will be a pair that multiply to -6 and add to 1.

As we can see, -2 and 3 add to 1. So the two numbers that multiply to -6 and add to 1 are: -2 and 3.

So,
%28x%5E2+%2B+x-6%29%2F+%28x-2%29%28x%2B3%29%3C=+0
Then we have:
%28x%28x-1%29%29+%2F+%28x%5E2%2Bx-6%29+%3C=+0
%28x%28x-1%29%29+%2F+%28x-2%29%28x%2B3%29+%3C=+0