Classify each of the following as true or false. If false, tell why.a. For all sets A and...

Classify each of the following as true or false. If false, tell why.

a. For all sets A and B, either A  B or B  A.

b. The empty set is a proper subset of every set.

c. For all sets A and B, if A ~ B, then A = B.

d. The set {5, 10, 15, 20,…..} is a finite set.

e. No set is equivalent to a proper subset of itself.

f. If A is an infinite set and B  A, then B also is an infinite set.

g. For all finite sets A and B, if A  B  Ø, then n(A  B)  n(A) + n(B).

h. If A and B are sets such that A  B = Ø, then A = Ø or B = Ø.