Question

if p is even or q is even or r is even, then pqr is even (assuming p, q, and r are integers) trying to prove this statement

Answer 1

write one of them as 2*k where k is an integer

Answer 2

right, we have the definition of an even number which is what you are saying, im new to proofs though, so we assume one of them is even, but what do we assume of the other two? do we do cases here?

Answer 3

without loss of generality assume p is the one that is even.

then pqr=2kqr=2(kqr) which is an even number

Answer 4

ahh, I see, because it is back to 2 times an integer, thank you