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.’
Solution:
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.'
$\mathrm{C}=\{\mathrm{C}, \mathrm{A}, \mathrm{T}, \mathrm{R}\}$
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.