Chapter 2.2, Problem 2E

(a)

To determine

$S\cap T,S\cup T,\text{ and }T\times \left(S\cap T\right)$.

(b)

To determine

$Z\cup S,Z\cap S,Z\cup T\text{ and }Z\cap T$.

(c)

To determine

List of elements in $Z\cap \left(S\cup T\right)$ and $\left(Z\cap S\right)\cup \left(Z\cap T\right)$.

(d)

To determine

List of elements in $Z\cup \left(S\cap T\right)$ and $\left(Z\cup S\right)\cap \left(Z\cup T\right)$.