Question

А) Даны множества: А={ 2, 3. 8} , В= {2, 3, 8, 11} , С={5,11} ... Найдите: 1) А⋂В, 2)A⋂C 3)C⋂B

Answer 1

1) AuB {2,3,8,11}       

    AuC {2,3,5,8,11}

    BuC {2,3,5,8,11} 

2) AnB{2,3,8}

    AnC{...}

    CnB{11} 

Answer 2

1) A⋂B

To find the intersection of sets A and B, we need to identify the elements that are common to both sets. Set A is {2, 3, 8} and set B is {2, 3, 8, 11}.

The intersection of A and B, denoted as A⋂B, is the set that contains all the elements that are present in both A and B. In this case, the common elements between A and B are 2, 3, and 8.

Therefore, A⋂B = {2, 3, 8}.

2) A⋂C

Similarly, to find the intersection of sets A and C, we need to identify the elements that are common to both sets. Set A is {2, 3, 8} and set C is {5, 11}.

Since there are no common elements between A and C, the intersection of A and C, denoted as A⋂C, is an empty set.

Therefore, A⋂C = {} (an empty set).

3) C⋂B

Again, to find the intersection of sets C and B, we need to identify the elements that are common to both sets. Set C is {5, 11} and set B is {2, 3, 8, 11}.

The common element between C and B is 11.

Therefore, C⋂B = {11}.

In summary:

1) A⋂B = {2, 3, 8} 2) A⋂C = {} (an empty set) 3) C⋂B = {11}