Chapter 12.1, Problem 37E

To determine

(a)

The expression $1\in A$ is true or false for the given set $A=\left\{1,2,3,\left\{3\right\},\left\{1,4,7\right\}\right\}$.

To determine

(b)

The expression $\left\{3\right\}\in A$ is true or false for the given set $A=\left\{1,2,3,\left\{3\right\},\left\{1,4,7\right\}\right\}$.

To determine

(c)

The expression $\left\{2\right\}\in A$ is false for the given set $A=\left\{1,2,3,\left\{3\right\},\left\{1,4,7\right\}\right\}$.

To determine

(d)

The expression $\left\{4\right\}\in A$ is false for the given set $A=\left\{1,2,3,\left\{3\right\},\left\{1,4,7\right\}\right\}$.

To determine

(e)

The expression $\left\{\left\{3\right\}\right\}\subset A$ is false for the given set $A=\left\{1,2,3,\left\{3\right\},\left\{1,4,7\right\}\right\}$.

To determine

(f)

The expression $\left\{1,4,7\right\}\in A$ is false for the given set $A=\left\{1,2,3,\left\{3\right\},\left\{1,4,7\right\}\right\}$.

To determine

(g)

The expression $\left\{1,4,7\right\}\subset A$ is false for the given set $A=\left\{1,2,3,\left\{3\right\},\left\{1,4,7\right\}\right\}$.