SOLUTION: (x-6)(x-5)/(x-9)(x+1) < 0 Write your answer in set-builder notation

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: (x-6)(x-5)/(x-9)(x+1) < 0 Write your answer in set-builder notation      Log On


   

Question 813483: (x-6)(x-5)/(x-9)(x+1) < 0 Write your answer in set-builder notation
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(x-6)(x-5)/(x-9)(x+1) < 0 Write your answer in set-builder notation
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Draw a number line::
Plot x = -1...5....6....9
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Check a test-value in each of the intervals::
Let x = -10 to get (-*-)/(-*-) < 0 ; false
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Let x = 0 to get (-*-)/(-*+) < 0 ; True
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Let x = 5.5 to get (-*+)/(-*+) < 0 ; False
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Let x = 8 to get (+*+)/(-*+) < 0 ; True
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Let x = 10 to get (+*+)/(+*+) < 0 ; False
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Solution: {x |-1< x <5 or 6< x <9]
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Cheers,
Stan H.
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