Question

In the below Venn-diagram, the set $\{2,3,4,5,7,8,9,10\}$ represents the set ___.

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

Answer 1

The correct option is D

$(A\cap B{)}^{\prime }$

Note from the Venn diagram that $A\cap B=\{1,6\}.$
The complement of $A\cap B$ is the set of all those elements of $U,$ which are not in $A\cap B.$
$\therefore (A\cap B{)}^{\prime }=\{2,3,4,5,7,8,9,10\},$ represented by the portion shaded in yellow.