Counter Example?

Question

Which of the following pairs of numbers is a counter example to the following stanement: If the sum of two integers is even, then both of the integers are even.

a. 4.5 , 5.5
b.5, 6
c. 5, 7
d. 6, 7







Can someone help me please??

Answer 1

If the teacher is looking for a counter example, or an example that counters or refutes the statement then I would pick C.

The statement is:

If the sum of two integers is even, then both of the integers are even.

Selection C is where two odd numbers are added together to create an even number proving that the statement is false.

I never heard of a counter example before so the previous answer could be correct, but, it would be counter intuitive.

Answer 2

c. 5,7

There are only three options that have integers, b, c and d.

Only c gives an even result if the two integers are summed: 7+5=12

Neither 5 nor 7 is even.

Therefore c is a counter example, defeating the contention that, "If the sum of two integers is even, then both of the integers are even. "

Answer 3

None. b/c if you want 2 numbers which are odd to get an odd number, A is 10 =even no. so thats not it, B is 11 odd but 6 is an even no. so not it, C. is 12 so not it, and 6+7=13 , but not all even,D is 12 but 6 is even, so um.. good luck!