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9 January, 00:51

Which conjunction or disjunction is equivalent to the open sentence |a - 7| ≤ 5?

A.

a - 7 ≥ 5 or a - 7 ≤ - 5

B.

a - 7 ≥ 5 and a - 7 ≤ - 5

C.

a - 7 ≤ 5 and a - 7 ≥ - 5

D.

a - 7 ≤ 5 or a - 7 ≥ - 5

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Answers (1)
  1. 9 January, 02:28
    0
    B.

    This is the same as a-7≤5 and 7-a≤5.

    So a≤12 and a≥2, which is written 2≤a≤12, so a lies between 2 and 12 or a has the interval [2,12].
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