Question

Which of the following are pairs of equal sets? 

C = set of letters in the word, ‘CATARACT.’ 

D = set of letters in the word, ‘TRACT.’

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, 

C = set of letters in the word, ‘CATARACT.’ 

C = {C, A, T, R} 

and D = set of letters in the word, ‘TRACT.’ 

D = {T, R, A, C} 

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

Thus, C and D are equal sets.