Determine whether each statement is true or false

CHEMISTRY · Multi-part · GCSE · Chemistry · Atomic Structure and the Periodic Table · Bonding, Structure and the Properties of Matter

Problem

Determine whether each statement is true or false. Explain your answers. (1) If

R

and

S

are two non-empty sets and

R \cap S = \emptyset

then

R

and

S

are disjoint. (2) For any sets

A

and

B

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

and

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

. (3) If

A \cap B = A \cup B

then

A = B

. (4) If

A

and

B

are infinite sets, then

A \cap B

is also an infinite set.