Question

Which of the following are pairs of equal sets? 

A = set of letters in the word, ‘ALLOY.’ 

B = set of letters in the word, ‘LOYAL.’

Answer 1

Equal Sets = Two sets A and B are said to be equal if they have exactly the same elements & we write A = B 

We have, 

A = set of letters in the word, ALLOY

A = {A, L, O, Y} 

and B = set of letters in the word, LOYAL 

B = {L, O, Y, A} 

Here, A = B because the elements in both the sets are equal. The repetition of elements in a set does not change a set. 

Thus, A and B are equal sets.