1. determine whether the following statements are true or false.
if they are true to prove them if they are false to provide a counterexample.
(a) the difference between any two odd integers is even.
(b) if and are integers and + is even, then either is even or is even.
(c) if is odd and is even, then + is odd.

Step-by-step explanation:

a) True. Let I integer = 2m+1 and second integer 2n+1

Difference = 2(m-n) hence even

b)False. If m and n are integers and m+n is odd then either both even or both odd

Eg: 3 and 5.  3+5 =8 is even but both are even

c) True

m is odd then m= 2n+1

l is even so l = 2p

Sum = 2(n+p)+1  hence odd

answer is more than one

step-by-step explanation: