Question

Let A and B be two sets then $( A \cup B ) ^ { \prime } \cup \left( A ^ { \prime } \cap B \right)$ is equal to

• A. $A ^ { \prime }$
• B. A
• C. $B ^ { \prime }$
• D. None of these

Answer 1

Answer: (A)

$A ^ { \prime }$

Answer 2

From Venn-Euler's Diagram,

$\therefore$ $( A \cup B ) ^ { \prime } \cup \left( A ^ { \prime } \cap B \right) = A ^ { \prime }$.