Question

Consider the above Venn-diagram. The set $\{2,9,10\}$ represents ___.

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

Answer 1

The correct option is C

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

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