If m and n are odd, then m − n is even. True or False question

Answer 1

True

Just try out a few integers

5-3 = 2

7-1 = 6

you always get an even number

Let n= an even number

n+1 is an odd number

n+3 is an odd number

n+3 -(n+1) = n-n +3-1 = 2 = an even number

n can be any even number

Answer 2

x and y are any real numbers

2x + 1 is an odd number

2y + 1 is an odd number

2x + 1 - (2y + 1)

2x + 1 - 2y - 1

2x - 2y is divisible by 2