Final answer:
The statement 'The product of two even numbers is even' is indeed true, as even numbers have the form 2k and their product will always include 2 as a factor, resulting in an even number.
Step-by-step explanation:
The statement 'The product of two even numbers is even' is true. This is based on the definition of even numbers, which can be expressed in the form of 2k, where k is an integer. When you multiply two even numbers (for example, 2k and 2m), the product is 4km, which can also be expressed as 2(2km). Since it has a factor of 2, the result is again an even number.
Therefore, options A, B, and C are incorrect because they suggest the statement is false, and they involve either an odd number or a correct example of an even product. The correct answer is D), True, confirming the original statement.