Question

If A and B be any two sets, then $( A \cap B ) ^ { \prime }$ is equal to.

• A. $A ^ { \prime } \cap B ^ { \prime }$
• B. $A ^ { \prime } \cup B ^ { \prime }$
• C. $A \cap B$
• D. $A \cup B$

Answer 1

Answer: (B)

$A ^ { \prime } \cup B ^ { \prime }$

Answer 2

From De’ morgan’s law, $( A \cap B ) ^ { \prime } = A ^ { \prime } \cup B ^ { \prime }$.