Class 11th Maths Textbook Chapter 1: Sets Exercise 2: Empty, Finite, Infinite, and Equal Sets Question 5 (ii) Solution

Question

Are the following pair of sets equal? Give reasons. (ii) A = {x : x is a letter in the word FOLLOW},\quad B = {y : y is a letter in the word WOLF}

Accepted Answer

Find all distinct letters of the word FOLLOW to get the elements of set A. Remember that repeated letters are written only once in a set.
 	ext{A = \{F, O, L, W\}} Find all distinct letters of the word WOLF to get the elements of set B. Remember that repeated letters are written only once in a set.
 	ext{B = \{W, O, L, F\}} Determine whether both sets have exactly the same elements.
 {green}	extbf{Answer: Yes. A = B}|||	extbf{Reason: In a set, the order of elements does not matter. Both sets contain the same elements. Therefore, A = B}{/green}

Question: 5 (ii)

Answer