college algebra

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solve the inequality algebraically

11x-3 is greater than or equal to - 4x^2

  • college algebra -

    11x - 3 ≥ -4x^2
    4x^2 + 11x - 3 > 0
    (x+3)(4x-1) ≥ 0

    critical values are x = -3 and x = 1/4
    and y = 4x^2 + 11x - 3 is a parabola opening upwards, with intercepts -3 and 1/4 .....

    so x ≤ - 3 OR x ≥ 1/4

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