Q.
Determine which of the following are true?
I. If $x \in A$ and $A \in B$, then $x \in B$.
II. If $A \subset B$ and $B \in C$, then $A \in C$.
III. If $A \subset B$ and $B \subset C$, then $A \subset C$.
IV. If $A \not \subset B$ and $B \not \subset C$, then $A \not \subset C$.
V. If $x \in A$ and $A \not \subset B$, then $x \in B$.
VI. If $A \subset B$ and $x \notin B$, then $x \notin A$.
Sets
Solution: