Question

Which is a counterexample to this conjecture?

The sum of any two consecutive integers is a composite number.



A.
16 + 17 = 33


B.
10 + 11 = 21


C.
6 + 7 = 13


D.


7 + 8 = 15

Answer 1

counter example means the opposite. It means we have to show an example that proves the original statement wrong.
so the counter example would be : the sum of 2 consecutive integers equals a prime number. (not a composite number)

So ur counter example would be : 6 + 7 = 13

Answer 2

You are asked to identify the counterexample of the statement given. This means you need to find the opposite. In this case, we have to find the sum of two consecutive numbers that is not a composite number. A composite number is a number that can be divided evenly by numbers aside from 1 or the number itself.

Therefore, the correct answer must be option C, 6+7 = 13.