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March 27, 2017

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solve the inequality algebraically

7x-6 less than or equal to 3x^2

please show work

  • calculus - ,

    3x^2>7x-6

    3 x^2 - 7 x + 6 > 0

    parabola upright(holds water)
    zeros at 7/6 +/- (1/6)sqrt(49-36)

    7/6 +/ - (1/6)sqrt(13)

    so
    x< 7/6 - (1/6) sqrt 13
    or
    x> 7/6 + (1/6) sqrt 13

  • calculus - ,

    good, except it's ≤, not <

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