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algebra

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write the verbal sentence as an inequality and solve the inequality. (this has to do with absolute value inequalities)

the distance between x and 8 is less than 14

  • algebra -

    i think the answer is (x-8)<14
    the parentheses stand for the absolute value sign

  • algebra -

    | x - 8 | < 14

    this means
    x - 8 < 14
    x < 22

    -x + 8 < 14
    -x < 6
    x > -6

    therefore,
    -6 < x < 22

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