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. The universal set contains seven elements. 2. Set A has only one element. 3. Set Bhas four elements, 4. Sets and C has equal number of elements, 5. Number 6 is the element of the universal set. 6. Number 7 is the only element of set B. 7. Number 3 is one of the elements of set A and set C only. 8. Number 3 is one of the elements of at B and set C. 9. Ser contains three elements, 10. Number 1 is one of the elemens of set A and B. 11. Set Bis a sutset of the universal set. 12. Set C is a subset of se: B. 13. Sati s also the subset of se: B. 14. Set 3 and Care subsets of the universal se: rul:er is a use of the unisersal set​

Sagot :

Answer:

1A

3C

4D

6A

8A

9B

10A

13D

12C

14A

Answer:

1.The universal set U consists of all natural numbers, such that, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10,….}. Therefore, as we know, all the even and odd numbers are a part of natural numbers. Therefore, Set U has all the elements of Set A and Set B.

2.A set that contains only one element is called Singleton or unit set. In mathematics, a singleton, also known as a unit set, is a set with exactly one element.

3.2^4 = 16. The empty set, {A}, {B}, {C}, {D}, {A, B}, {A, C}, {A, D}, }B, C}, {B, D}, {C, D}, {A, B, C}, {A, B, D}, {A,C, D}, {B, C, D}, and {A, B, C, D} itself.

Generally, to construct a subset, list all elements of the set and to each element assign either YES (belongs to the subset) or NO (does not belong to the subset). This can be done in 2 ways for each element; therefore, if the original set has n elements, the total number of possible choices is 2*2*2*…*2 (n times), i.e. 2^n.

Step-by-step explanation:

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