Question 206702This question is from textbook intermediate algebra
: solve and graph the solution set:
((2x-1)(x+3))/(x-4) ≤0
This question is from textbook intermediate algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! solve and graph the solution set:
((2x-1)(x+3))/(x-4) ≤0
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Draw a number line and mark x = 1/2, -3, and 4
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x = 1/2 and x = -3 are part of the solution set. x=4 is not allowed.
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You want to know when the left side is negative so check the sign
of the left side with check values in the intervals of the number line.
Check x = -5
The left signs are: -*-/- < 0 so solutions in (-inf,-3)
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Check x = 0
The left signs are: -*+/- > 0 so NO solutions in (-3,1/2)
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Check x = 2
The left signs are +*+/- < 0 so solutions in [1/2,4)
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Check x = 5
The left signs are: +*+/+ > 0 so NO solutions in (4,+inf)
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Cheers,
Stan H.
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