algebra

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Solve the inequality. Express your solution using notation and please show all of your work.
x^4<16x^2

  • algebra -

    x^4 < 16x^2
    x^2(x^2 - 16) < 0

    x^2 is always positive, so
    x^2 < 16

    so, for -4 < x < 4

    x^4 < 16x^2
    at x=0, x^4 = 16x^2, so 0 is excluded from the solution

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