Chapter 2.2B, Problem 15A

Answer each of the following. If your answer is no, tell why.

a. If $A\subseteq B$ can we always conclude that $A=B$.

b. If $A\subset B$ can we conclude that $A=B$

c. If $A$ and $B$ can be placed in to one to one correspondence must $A=B$.

d. If $A$ and $B$ can be placed in to one to one correspondence must $A\subseteq B$.