Chemistry

Problem

Determine whether each statement is true or false. Explain your answers. a. If

R

and

S

are two non-empty sets and

R \cap S = \emptyset

then

R

and

S

are disjoint. b. For any sets

A

and

B

n(A \cap B) \le n(A)

and

n(A \cap B) \le n(B)

. c. If

A \cap B = A \cup B

then

A = B

. d. If

A

and

B

are infinite sets, then

A \cap B

is also an infinite set.