Question

Rewrite the set T by listing its elements. Make sure to use the appropriate set notation.
T={[ z| z is an interger and -4≤z<0}

Answer 1

\[T=\left\{z~|~z\in\mathbb{Z}\text{ and}-4\le z\le0\right\}\]
is the same as saying
T is the set of numbers \(z\) such that \(z\) is an integer greater than or equal to -4 and less than or equal to 0.

So, you have to list all the integers between -4 and 0, including -4 and 0. Simple as that.