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

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.