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Question 190565This question is from textbook saxon algebra 2
: Solve x-9/x+7 is greater than 0 by finding the sign of the numerator and the denominator of the rational expression.
I worked it out to:
x is less than -7 or x is greater than 9
Am I correct?
This question is from textbook saxon algebra 2
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve x-9/x+7 is greater than 0 by finding the sign of the numerator and the denominator of the rational expression.
I worked it out to:
x is less than -7 or x is greater than 9
Am I correct?
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(x-9)/(x+7) > 0
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x cannot be -7 and x cannot be 9
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Draw a number line and mark x = -7 and 9
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Check a value in each of the resulting intervals to see there the solutions are.
Check x = -10: you get -/- > 0 ; true, so solutions in (-inf,-7)
Check x = 0; you get -/+ > 0 ; false
Check x = 10; you get +/+ > 0 ; so solutions in (9,+inf)
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Solution: (-inf,7) U (9,+inf)
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Cheers,
Stan H.
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