How to express a set in words Is it correct to say $M$ is the set of all $x$ that are elements of $\mathbb Z$, such that $x $ is greater than $-5$ ?
$ M=${$x\in \mathbb Z :x$ is even, $x > -5$}

Instead of "the set of all $x$ is an element of $\Bbb Z$" (which doesn't make grammatical sense), just say "the set of all $x$ in $\Bbb Z$". You also missed the "$x$ is even" part. I'd translate "$M=\{x\in\Bbb Z:x\text{ is even},x>-5\}$" as "$M$ is the set of all even integers greater than $-5$". So $M=\{-4,-2,0,2,4,6,8,...\}$.
