SOLUTION: solve the inequality and express the solution set in interval notation.
6/(x+4) > 6/(x-1)
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Question 728270: solve the inequality and express the solution set in interval notation.
6/(x+4) > 6/(x-1)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
, divide both sides by 6,
One of the binomials of the denominator must be positive while the other is negative. The critical points to test separating the intervals are at x=-4 and x=1. Pick any value for x in each of these three intervals and test:
(-infinity, -4)
(-4, +1)
(+1, infinity)
The numerator is negative. You must choose the intervals which make the entire denominator itself be negative.
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