If $x$ is not a multiple of 2 or not a multiple of 3, then $x$ is not a multiple of 6.

If $x$ is a multiple of 2 and 3, then $x$ is a multiple of 6.

If $x$ is not a multiple of 6, then $x$ is not a multiple of 2 and 3.

If $x$ is a multiple of 2 or 3, then $x$ is a multiple of 6.