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24 August, 11:01

If p represents "a number is divisible by 2," q represents "a number is odd," and r represents "a number is even," what does this statement imply?

(~ p - > q) v r

A. If a number is divisible by 2, then it's even. Other wise it's odd.

B. If a number is divisible by 2, then it isn't even. Other wise it's odd.

C. If a number isn't divisible by 2, then it's odd. Other wise it's even.

D. If a number isn't divisible by 2, then it isn't odd. Other wise it's odd.

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Answers (1)
  1. 24 August, 11:17
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    The answer

    the general rule of implication

    (p - > q) v r, this means, "if p, then q" or r, the sign "v" means "or"

    so we have:

    p: " p represents "a number is divisible by 2,"

    q: " q represents "a number is odd,"

    r: " a number is even,"

    therefore, (p - > q) v r does mean:

    If a number isn't divisible by 2, then it's odd. Other wise it's even.

    the choice is C.
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