Question 787075: solve the inequality and write the answer in interval notation x(x-1)(X+2)>0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! solve the inequality and write the answer in interval notation x(x-1)(X+2)>0
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x cannot be 0,1,-2
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Draw a number line and plot those value.
Test a value in each of the resulting intervals to find the solution set::
x(x-1)(x+2)
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Testing x = -10 you get -*-*- > 0 ; false
Testing x = -1 you get -*-*+ > 0 ; true, so solutions in (-2,0)
Testing x = 1/2 you get +*-*+ > 0 ; false
Testing x = 10 you get +*+*+ > 0 ; true, so solutions in (1,+oo)
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Ans: (-2,0)U(1,+oo)
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Cheers,
Stan H.
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