what is the proper subset for 13, 14, 15
To determine the proper subset(s) for the numbers 13, 14, and 15, we need to consider all subsets that are fully contained within the given set of numbers.
The set of numbers {13, 14, 15} has several proper subsets, which include:
1. {13} - This subset includes only the number 13.
2. {14} - This subset includes only the number 14.
3. {15} - This subset includes only the number 15.
4. {13, 14} - This subset includes both 13 and 14.
5. {13, 15} - This subset includes both 13 and 15.
6. {14, 15} - This subset includes both 14 and 15.
Please note that any subset that includes all three numbers, such as {13, 14, 15}, is not considered a proper subset since it is equal to the original set.
To determine the proper subset for the numbers 13, 14, and 15, we need to consider all the subsets of these numbers. A subset is considered proper when it excludes at least one element from the original set.
To find all the subsets, we can list out all the possible combinations of the numbers 13, 14, and 15.
The original set is {13, 14, 15}. The subsets are as follows:
1. {13}
2. {14}
3. {15}
4. {13, 14}
5. {13, 15}
6. {14, 15}
Since these are the only possible subsets of the set {13, 14, 15}, there are no proper subsets for these numbers. All the subsets listed above include at least one element from the original set.
If A={13,14,15}
A proper subset B of A is such that
B∈A but B≠A.
The following sets are all proper subsets of A:
∅, {13}, {14}, {15}, {13,14}, {13,15}, {14,15}