Question

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.

Answer 1

Answering think c :

Explanation:

Answer 2

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.