Question 779215: 2x2+5x-12>0 graph and algebraically solve the inequalities
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 2x2+5x-12>0
Factor:
2x^2 + 8x-3x - 12 > 0
2x(x+4)-3(x+4) > 0
(x+4)(2x-3) > 0
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Draw a number line; plot x = -4 and x = 3/2
Test points in each of the resulting intervals to find the solution set::
Let x = -10; you get -*- > 0, so solutions in (-oo,-4)
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Let x = 0: you get +*- > 0, false
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Let x = 10: you get +*+ > 0, so solutions in (3/2,+oo)
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Cheers,
Stan H.
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