pre calculus

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solve the following inequality 4x-3/x+4 less than or equal too 3

  • pre calculus -

    I think you mean:

    (4x-3)/(x+4) ≤ 3 , clearly x≠-4
    4x-3 ≤ 3(x+4)
    4x - 3 ≤ 3x + 12
    x ≤ 15

    make a rough sketch of
    y = (4x-3)/(x4) and y = 3

    you will see that (4x-3)/(x+4) ≤ 3 for

    -4 < x ≤ 15

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