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

Question

9 September, 09:09

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Answers (1)

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Deangelo Ibarra · Answer 1

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].

Which conjunction or disjunction is equivalent to the open sentence |a - 7| ≤ 5?A.a - 7 ≥ 5 or a - 7 ≤ - 5B.a - 7 ≥ 5 and a - 7 ≤ - 5C.a - 7 ≤ 5 and a - 7 ≥ - 5D.a - 7 ≤ 5 or a - 7 ≥ - 5