SOLUTION: can you help me solve this and then graph it? we are solving inequalities. 2x^2-x-3 is < or = to 0

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Question 230384: can you help me solve this and then graph it? we are solving inequalities.
2x^2-x-3 is < or = to 0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
can you help me solve this and then graph it? we are solving inequalities.
2x^2-x-3 is < or = to 0
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Sketch the boundary curve which is y = 2x^2-x-3
Find the x-intercepts:
2x^2-3x+2x-3 = 0
x(2x-3)+(2x-3) = 0
(2x-3)(x+1) = 0
x intercepts at x=3/2 and at x = -1
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y-intercept at (0,-3)
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Plot those points and draw a parabola thru them.
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Graph the inequality as the area BELOW the curve because
your problem says 2x^2-x-3 LESS then 0
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C=2x%5E2-x-3%29
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Cheers,
Stan H.