Discrete Structure20795 marksDirect proof
Show that the sum of two even numbers is even using direct proof.
Show that the sum of two even numbers is even using direct proof. [5]
An integer $n$ is even if there exists an integer $k$ such that: $$n = 2k$$ --- Statement: If $a$ and $b$ are even integers, then $a + b$ is also an even integer. --- Assume that $a$ and $b$ are two even integers. Step 1: By the definition of even numbers, since $a$ is even, there exists an integ...