Verified answer

Answer:

Elements: A = {10, 11, 12, 13}

Cardinality: The cardinality of A is 4, since it has 4 elements.

No. of subsets: The number of subsets of A is 2^4 = 16, since A has 4 elements and each element can either be in a subset or not.

Subsets:

{}, {10}, {11}, {12}, {13}, {10,11}, {10,12}, {10,13}, {11,12}, {11,13}, {12,13}, {10,11,12}, {10,11,13}, {10,12,13}, {11,12,13}, {10,11,12,13}.

Note: The empty set {} is considered a subset of every set, including A.

Answer:

A set of numbers from 10 and 13 would typically include all integers between 10 and 13. Assuming that's what you intended, the corrected set would be as follows:

A = {10, 11, 12, 13}

Cardinality (number of elements in set A): 4

The number of subsets (including the empty set and the set itself) can be calculated using the formula 2^n, where n is the number of elements in the set. In this case, n = 4, so there are 2^4 = 16 subsets.

Here are all the subsets of set A:

1. {}

2. {10}

3. {11}

4. {12}

5. {13}

6. {10, 11}

7. {10, 12}

8. {10, 13}

9. {11, 12}

10. {11, 13}

11. {12, 13}

12. {10, 11, 12}

13. {10, 11, 13}

14. {10, 12, 13}

15. {11, 12, 13}

16. {10, 11, 12, 13}

These are all the possible subsets of the corrected set A.