State if the given pair of set is an equal set.
X = { $0, 1, 2, 3$ }, Y = {whole number less than $4$ }.

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Solution

Stating whether the given sets are equal or not
Two sets are said to be equal, if they contain exactly the same (identical) elements.
In case of equal sets, the elements as well as the number of elements in the sets are same.
Given sets,
X = { $0, 1, 2, 3$ }, Y = {whole number less than $4$ } i.e.{ $0, 1, 2, 3$ }
Since, Set X and Set Y have same elements as well as the same number of elements,
Thus, Set X and Set Y are equal sets.

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