Question

Which of the following pairs of sets are equal?

• A. $P=\left\{0,1,2,3,4\right\},Q=\left\{x:xisawholenumberlessthan5\right\}$
• B. $A=\left\{a,b,c,d\right\}B=\left\{p,q,r,s\right\}$
• C. $M=\left\{daysoftheweek\right\}N=\left\{monthsoftheyear\right\}$
• D. None of these

Answer 1

The correct option is A

$P=\left\{0,1,2,3,4\right\},Q=\left\{x:xisawholenumberlessthan5\right\}$

Explanation for the correct option:

Option a:

Set $P=\left\{0,1,2,3,4\right\}$

Set $Q=\left\{0,1,2,3,4\right\}$ as it says whole numbers less than $5$.

Since both the sets have same elements, they will be equal sets.

Explanation for the incorrect option:

Option b:

Since the elements of both the sets are different, they can not be called as equal sets.

Option c:

Set $M$ will have the days of the weeks whereas set $N$ will have the months of the year.

Since they do not have similar elements, they can not be called as equal sets.