Consider the following statement, for all xinZ :

If $x+1$ is even, then $3x^2-4$ is odd.

The correct way to start a direct proof to determine if the statement is true is as follows:

Assume $x$ is even, then $x=2k$ for some kinZ, then

$3x^2-4$ ie $3(2k{)}^2-4$ i$.$e$.q,$

a$.$ True

b$.$ False