what would be a complement of the subset {3,6,7,8,11}?
the complement of a set A are those elements not in A,
so we need more information such as what set your subset belongs to.
ohh well the whole set is {1,2,3,4,5,6,7,8,9,10,11,12}
So it is everything in that whole set EXCEPT 3,6,7,8,11
oh okay. thanks so much. this site is so helpful. :D
To find the complement of a subset, we need to know the universal set that the subset belongs to. The universal set is the set that contains all possible elements of interest.
In this case, the universal set is not specified. Let's assume that the universal set is the set of all positive integers (denoted as ℕ), from which we can take elements to form subsets.
The complement of a subset is the set of all elements in the universal set that are not in the given subset.
To find the complement of the subset {3,6,7,8,11}:
1. Consider the universal set, which is assumed to be ℕ, containing all positive integers.
2. Identify the elements in the subset {3,6,7,8,11}.
3. List all positive integers that are not in the given subset.
Since ℕ contains an infinite number of positive integers, the complement of the subset {3,6,7,8,11} will be an infinite set of positive integers that are not in the given subset.
Therefore, the complement of the subset {3,6,7,8,11} is ℕ - {3,6,7,8,11} (excluding the elements that are already in the subset).