Question

Determine whether each of these pairs of sets are equal.

1) 1, 3, 3, 3, 5, 5, 5, 5, 5,5, 3, 1
2) 1,1,1
3) ∅,∅

Answer 1

The first pair of sets is equal because the duplicate elements are removed. The second pair of sets is also equal because both sets are empty.

Step-by-step explanation:

To determine whether two sets are equal, we need to compare the elements in each set. In the first pair, the set contains the elements 1, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, and 1. The second set contains the elements 1, 1, 1. When we remove the duplicate elements, both sets become {1, 3, 5}. Therefore, the two sets are equal.

In the third pair, the first set is empty (∅) and the second set is also empty (∅). Since both sets have no elements, they are equal.