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Question 433051: how do I solve this inequality? (x+1)(x-3)/(x+2)(x-4)<0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! how do I solve this inequality? (x+1)(x-3)/(x+2)(x-4)<0
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1st: You find the values that "x" cannot have:
They are: x = -1, or 3 because that would make the fraction = 0
They are: x = -2, or 4 because that would make the fraction be undefined.
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2nd Draw a number line and plot those
unacceptable values -2,-1,3,4
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3rd Check a test value from each of the
resulting intervals in the inequality:
(x+1)(x-3)/(x+2)(x-4)<0
Note: Just track the sign of each factor:
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If x = -10 you get; (-*-)/(-*-)<0 ; false
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If x = -3/2 you get:(-*-)/(+*-)<0; true; solutions in (-2< x <-1)
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If x = 0 you get (+*-)/(+*-)<0; false
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If x = 7/2 you get (+*+)/(+*-)<0; true; solutions in (3< x <4)
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If x = 10 you get (+*+)/(+*+)<0; false
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Solutions in
Cheers,
Stan H.
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