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.

Question

Mathematics

Shiloh Stevens

29 December, 05:53

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.

+4

Answers (1)

Know the Answer?

Leonel Johnson · Answer 1

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