Chapter 1.2, Problem 7ES

To determine

(a)

To indicate:

The elements in the given set $S=\left\{n\in Z|n={\left(-1\right)}^k,\text{for}\text{some}\text{integer}k\right\}$ by using set-roster notation.

To determine

(b)

To indicate:

The elements in the given set $T=\left\{m\in Z|m=1+{\left(-1\right)}^i,\text{for}\text{some}\text{integer}i\right\}$ by using set-roster notation.

To determine

(c)

To indicate:

The elements in the given set $U=\left\{r\in Z|2\le r\le -2\right\}$ by using set-roster notation.

To determine

(d)

To indicate:

The elements in the given set $V=\left\{s\in Z|s>2\text{or}s<3\right\}$ by using set-roster notation.

To determine

(e)

To indicate:

The elements in the given set $W=\left\{t\in Z|1<t<-3\right\}$ by using set-roster notation.

To determine

(f)

To indicate:

The elements in the given set $X=\left\{u\in Z|u\le 4\text{or}u\ge 1\right\}$ by using set-roster notation.