Question 396496: Please help me solve this and express the answer in interval notation:
[(x-5)(x+6)]/(x-3))> = 0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Please help me solve this and express the answer in interval notation:
[(x-5)(x+6)]/(x-3))> = 0
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The left side is zero when x = -6 and when x =5
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x = 3 is a value x cannot have as it gives a zero denominator.
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Draw a number line and plot x = -6, x = 3, and x = 5
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Check a value from each of the intervals to find inequality solution intervals.
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Check x = -10; you get [-*-/-] > 0 ; false
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Check x = 0; you get [-*+/-]> 0 ; true so solutions in [-6,3)
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Check x = 4; you get [-*+/+]>0 ; false
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Solution: [-6,3)
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Cheers,
Stan H.
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