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19 July, 06:24

Define a variable, write an inequality, and solve each problem. Check your solution.

1. Half of a number is at least 14

2. The opposite of 1/3 a number is greater than 9

3. 1/5 of a number is at most 30

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Answers (1)
  1. 19 July, 07:40
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    A variable = an unknown number

    1. (1/2) x ≥ 14

    x ≥ 28

    Check:

    1/2 (28) ≥ 14

    14 ≥ 14

    2. - (1/3) x > 9

    x < - 27

    Check:

    - (1/3) (-30) > 9

    10 > 9

    3. (1/5) x ≤ 30

    x ≤ 150

    Check:

    (1/5) (140) ≤ 30

    28 ≤ 30
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