Question 890032: I am not sure how to solve this problem. The problem is 8x -3> -3x^2 I am to solve the inequality algebraically
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I am not sure how to solve this problem. The problem is 8x -3> -3x^2 I am to solve the inequality algebraically
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3x^2+8x-3 > 0
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3x^2 + 9x-x-3 > 0
Factor:
3x(x+3)-(x+3) > 0
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Factor Again::
(x+3)(3x-1) > 0
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Draw a number line.
Plot x = -3 and x = 1/3 on the line.
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Test a value in each of the line intervals::
(x+3)(3x-1) > 0
If x = -10, -*- > 0 is true
If x = 0, +*- > 0 is false
If x = 10, +*+ > 0 is true
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Ans: -oo< x < -3 or 1/3 < x < +oo
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Cheers,
Stan H.
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