Question

Draw appropriate Venn diagram for the given : $(A \cup B)'$

Answer 1

Let U denotes universal set.
we know, $\cup$ is the symbol of union. if A union B is given then you should understand that , it is another set of distinct elements that are in A or B.

in figure, yellow colored region is shown. it denotes A U B.

now, complement of $(A\cup B)$ is the set of all distinct elements that do not belong to $(A\cup B)$.
in 2nd figure, Venn diagram is shown. here green colored region indicates $(A\cup B)'$.