Question 330166: (x+6)(x-15)(x+2)is greater than 0 what is the solution set?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! (x+6)(x-15)(x+2)is greater than 0
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Find the boundary values: x= -6,15,-2
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Plot those values on a number line.
at -6,-2,15
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Check a test value in each of the resulting
line intervals in the inequality to see where
the solutions are:
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(x+6)(x-15)(x+2)> 0
Check x = -20: -*-*- >0 ; false so no solutions in (-inf,-15)
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Check x = -4: +*-*- >0 ; true so solutions in (-6,-2)
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Check x = 0; +*-*+ >0 false so no solutions in (-2,15)
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Check x = 20: +*+*+ >0 ; true so solutions in (15,+inf)
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Solution: (-6,-2)U(15,+inf)
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Stan H.
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