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13 October, 12:05

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?

A) x < - 5

B) x > - 5

C) x > - 1

D) x < - 1

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Answers (1)
  1. 13 October, 12:20
    0
    If you would like to know what numbers are in the solution set of this problem, you can calculate this using the following steps:

    the number ... n

    2/5 * (n - 1) < 3/5 * (n + 1)

    2/5 * n - 2/5 < 3/5 * n + 3/5

    - 2/5 - 3/5 < 3/5 * n - 2/5 * n

    - 5/5 < 1/5 * n

    - 1 < 1/5 * n / * 5

    - 5 < n

    n > - 5

    n = x

    The correct result would be B) x > - 5.
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