Answer
a) 6m + 8n is even? TRUE
b) 10mn + 7 is odd? TRUE
c) if m>n>0, is m^{2} - n^{2} composite? FALSE
Work Step by Step
a) 8,6 are both even numbers, and the product of any even number with an integer is even, so 8n is even and 6m is even, hence the sum of 2 even integers is even.
b) 10 is even, mn is an integer, even * int is even,hence even +7(odd) = odd
c) by counter example take m = 2 n = 1, then m^2-n^2 = 3 which is prime.
