Question

Find a counter example. The product of any integer and 2 is greater than 2

Answer 1

Exception if the integer is a negative

Answer 2

One possible counterexample is:

-1

Explanation:

The set of integers contains the set of whole numbers and negative numbers, but does not include fractions or decimals.

Multiplying positive 2 by any negative number will result in a negative product.  Any negative number will be smaller than positive two; thus any negative number and 2 will have a product smaller than 2.