Question

State if the given statement is True or False.

If $xy$ is even and $z$ is even, then $(x+z)$ is even.

• A. True
• B. False

Answer 1

The correct option is B False

Cannot Be Determined

If $xy$ is even, then either $x$ or $y$ (or both $x$ and $y$) must be even. Given that $z$ is even, $x+z$ could be O + E or E + E. Therefore, you cannot determine whether $x+z$ is odd or even.