SOLUTION: Identify which is a solution for the inequality (x+1)/(x-4)<

SOLUTION: Identify which is a solution for the inequality (x+1)/(x-4)<_0

Question 715449: Identify which is a solution for the inequality (x+1)/(x-4)<_0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(x+1)/(x-4) <= 0
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x = -1 is a solution
x = 4 cannot be a solution.
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Plot those value on a number line.
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That creats 3 intervals on the the line.
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Test a value in each interval to see where the solutions lie.
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If x = -10 you get -/- > 0, so no solutions in (-oo,-1)
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If x = 0 you get +/- < 0, so solutions in [1,4)
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If x = 10 you get +/+ > 0, so no solutions in [4,+oo)
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Ans: [1,4)
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Cheers,
Stan H.
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