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What is the solution set of (x^2+x-6/x-7)<_0

What is the solution set of (x^2+x-6/x-7)<_0-example-1

1 Answer

3 votes
x^2 + x - 6
------------- <= 0
x - 7

(x + 3)(x - 2)
---------------- <= 0
x - 7

2 critical values are x = -3 and x = 2

if x <= -3 the the function <= 0 so that's one part of the solution
also x >= 2
x must be < 7 if its = 7 then the function is indeterminate. and values between 2 and 7 will give negative valu to function

The answer is choice A.


User JaviCasa
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