Question

Let $A$ and $B$ be two sets in the universal set. Then $(A\cup B{)}^{\prime }$ equals

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

Answer 1

The correct option is A $A^{\prime }\cap B^{\prime }$

We know that by De Morgan's law, $(A\cup B{)}^{\prime }=A^{\prime }\cap B^{\prime }$