Question

Find a counterexample to show that the conjecture is false. Any number that is divisible by 2 is also divisible by 6.

A.22
B.18
C.36
D.12

Answer 1

the answer is A)22 because 22÷6 is a fraction

Answer 2

So in order to find the counterexample and to prove it, let us do it one by one with the given options above.
A. 22. 22 is divisible by 2 but NOT DIVISIBLE by 6.
B. 18. 18 is divisible by 2 and also by 6.
C. 36. 36 is divisible by 2 and by 6.
D. 12. 12 is divisible by 2 and by 6.
Take note that when we say counterexample, this is the statement that disproves another statement. Therefore, the answer would be option A. 22. Hope that this answer helps.