Question

Determine if the conditional is true or false: If two numbers are odd, then their sum is even.

Answer 1

true.

ex.
2+3=5
1+3=4

Answer 2

A number is odd if x = 2n + 1 for any n in Z (set of integers).
A number is even if x = 2n for any n in Z.
so if a,b are odd. then
a = 2n1 + 1 ==> n1 is n subscript 1
b = 2n2+ 1 ==> n2 is n subscript 2

then a+b = 2n1 + 2n2 +2 = 2(n1+n2+1) .
n1 + n2 + 1 is inside Z since n1 and n2 is inside Z
hence a+b is written as 2k which is even. k= n1 + n2 +1

Answer 3

TRUe