Chapter 5.1, Problem 14E

(a)

To determine

The list of elements of the set $R\cap S\cap T$ if $U=\left\{1,2,3,4,5\right\}$, $R=\left\{1,3,5\right\}$, $S=\left\{3,4,5\right\}$ and $T=\left\{2,4\right\}$.

(b)

To determine

The list of elements of the set $R\cap S\cap T^{\prime }$ if $U=\left\{1,2,3,4,5\right\}$, $R=\left\{1,3,5\right\}$, $S=\left\{3,4,5\right\}$ and $T=\left\{2,4\right\}$.

(c)

To determine

The list of elements of the set $R\cap S^{\prime }\cap T$ if $U=\left\{1,2,3,4,5\right\}$, $R=\left\{1,3,5\right\}$, $S=\left\{3,4,5\right\}$ and $T=\left\{2,4\right\}$.

(d)

To determine

The list of elements of the set $R^{\prime }\cap T$ if $U=\left\{1,2,3,4,5\right\}$, $R=\left\{1,3,5\right\}$, $S=\left\{3,4,5\right\}$ and $T=\left\{2,4\right\}$.

(e)

To determine

The list of elements of the set $R\cup S$ if $U=\left\{1,2,3,4,5\right\}$, $R=\left\{1,3,5\right\}$, $S=\left\{3,4,5\right\}$ and $T=\left\{2,4\right\}$.

(f)

To determine

The list of elements of the set $R^{\prime }\cup R$ if $U=\left\{1,2,3,4,5\right\}$, $R=\left\{1,3,5\right\}$, $S=\left\{3,4,5\right\}$ and $T=\left\{2,4\right\}$.

(g)

To determine

The list of elements of the set ${\left(S\cap T\right)}^{\prime }$ if $U=\left\{1,2,3,4,5\right\}$, $R=\left\{1,3,5\right\}$, $S=\left\{3,4,5\right\}$ and $T=\left\{2,4\right\}$.

(h)

To determine

The list of elements of the set $\left(S^{\prime }\cup T^{\prime }\right)$ if $U=\left\{1,2,3,4,5\right\}$, $R=\left\{1,3,5\right\}$, $S=\left\{3,4,5\right\}$ and $T=\left\{2,4\right\}$.