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Math

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Please help me solve this inequality problem.

|1-(4)/(3)x|<3

  • Math -

    if this your problem
    | 1 - 4x/3 | < 3

    remove absolute value sign
    1 - 4x/3 < 3 and
    -1 + 4x/3 < 3

    1 - 4x/3 < 3
    -4x/3 < 2
    -4x < 6
    x > -6/4
    x > -3/2

    -1 + 4x/3 < 3
    4x/3 < 4
    4x < 12
    x < 3

    so solution is
    -3/2 < x < 3

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