Chapter 12.1, Problem 38E

To determine

(a)

The expression $a\in B$ is true or false for the given set $B=\left\{a,b,c,\left\{d\right\},\left\{e,f\right\}\right\}$.

To determine

(b)

The expression $\left\{b,c,d\right\}\subset B$ is true or false for the given set $B=\left\{a,b,c,\left\{d\right\},\left\{e,f\right\}\right\}$.

To determine

(c)

The expression $\left\{d\right\}\in B$ is true or false for the given set $B=\left\{a,b,c,\left\{d\right\},\left\{e,f\right\}\right\}$.

To determine

(d)

The expression $\left\{d\right\}\subseteq B$ is true or false for the given set $B=\left\{a,b,c,\left\{d\right\},\left\{e,f\right\}\right\}$.

To determine

(e)

The expression $\left\{e,f\right\}\in B$ is true or false for the given set $B=\left\{a,b,c,\left\{d\right\},\left\{e,f\right\}\right\}$.

To determine

(f)

The expression $\left\{a,\left\{e,f\right\}\right\}\subset B$ is true or false for the given set $B=\left\{a,b,c,\left\{d\right\},\left\{e,f\right\}\right\}$.

To determine

(g)

The expression $\left\{e,f\right\}\subset B$ is true or false for the given set $B=\left\{a,b,c,\left\{d\right\},\left\{e,f\right\}\right\}$.