Chapter 2.1, Problem 12E

(a)

To determine

Whether the statement “$A\in B,B\in C\to A\in C$” is true or false.

(b)

To determine

Whether the statement “$A\subseteq B,B\subseteq C\to A\subseteq C$” is true or false.

(c)

To determine

Whether the statement “$A\underset{\ne }{\subset }B,B\underset{\ne }{\subset }C\to A\underset{\ne }{\subset }C$” is true or false.

(d)

To determine

Whether the statement “$A\in B,B\subseteq C\to A\in C$” is true or false.

(e)

To determine

Whether the statement “$A\in B,B\subseteq C\to A\subseteq C$” is true or false.

(f)

To determine

Whether the statement “$A\subseteq B,B\in C\to A\in C$” is true or false.

(g)

To determine

Whether the statement “$A\subseteq B,B\in C\to A\subseteq C$” is true or false.