Determine whether the pair of sets is equal.
{1, 1, 2, 2, 2, 6, 6, 6, 6}, {1, 2, 6}
Yeah.....but we don't usually represent sets by the former type
the sets are not equal in any way. The first set has 8 elements, and the second has 3 elements. It just so happens that some of the values are equal.
To determine whether two sets are equal, you need to check if they have the same elements. Sets do not allow duplicate elements, so even if one set has multiple occurrences of an element, it will only be considered once.
To compare the given sets {1, 1, 2, 2, 2, 6, 6, 6, 6} and {1, 2, 6}, we can follow these steps:
1. Remove any duplicate elements from each set:
- For the first set {1, 1, 2, 2, 2, 6, 6, 6, 6}, the duplicate elements are 1 and 2. Removing duplicates, it becomes {1, 2, 6}.
- The second set {1, 2, 6} already does not have any duplicates.
2. Compare the modified sets:
- After removing duplicates, the first set becomes {1, 2, 6}.
- The second set is {1, 2, 6}.
The modified sets are identical, meaning they have the same elements. Therefore, the pair of sets {1, 1, 2, 2, 2, 6, 6, 6, 6} and {1, 2, 6} are equal.