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.

Question

Mathematics

Nathanial Joseph

25 December, 08:20

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.

+3

Answers (1)

Know the Answer?

Nehemiah Campos · Answer 1

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.