Plz help solving these:
(a) Assume that and are positive integers and that . Prove that if , then using contrapositive method.
(b) Using direct proof show that the negative of any even integer is even.
Thnx in advance..
to prove using the contrapositive method means the following.
by the contrapositive method, we prove a statement by showing
so start by assuming , where does this get you? how does this cause to relate to ? will they be equal?
Hint: we say an integer is even if it can be expressed as for . now note that(b) Using direct proof show that the negative of any even integer is even.