Suppose that U is an infinite universal set with infinite subsets A and B$.$ Determine and state the truth value $($True$,$ False$)$ of

each of the below statements. For a statement to be True, it must be true in all possible cases. For a statement to be False,

at least $1$ counter example must exist. If True, explain why. If False, provide a counter example.

a$.$ Must Ac be infinite?

b$.$ Must A $$ B be infinite?

c$.$ Must A $$ B be infinite?