Question

Which of the following pair of sets are equal sets?

$A=\left\{studentsinyourclasswhoaremorethan50yearsold\right\}$, $B=\left\{MonthsoftheyearwhosenamebeginswithR\right\}$

Answer 1

Two sets are said to be equal, if they contains exactly same element.

Given pair of set:

$A=\left\{studentsinyourclasswhoaremorethan50yearsold\right\}$ and $B=\left\{MonthsoftheyearwhosenamebeginswithR\right\}$

There is no element in set $A$ as no student in your class are more than $50$ years old.

Also, There is no element in set $B$ as no month is there whose name starts with letter $R$.

Both given sets are null set and the number of element in both the set is $n\left(A\right)=0$ and $n\left(B\right)=0$

Hence, the given pair of sets $A=\left\{studentsinyourclasswhoaremorethan50yearsold\right\}$ and $B=\left\{MonthsoftheyearwhosenamebeginswithR\right\}$ are equal sets.