Question

Let SS be the universal set, where:

S={1,2,3,...,18,19,20}S={1,2,3,...,18,19,20}
Let sets AA and BB be subsets of SS, where:

Set A={1,2,4,5,8,9,11,12,14,15,17,18,19}A={1,2,4,5,8,9,11,12,14,15,17,18,19}

Set B={2,3,8,9,12,18,19}B={2,3,8,9,12,18,19}

Find the following:

LIST the elements in the set (A∪BA∪B):
(A∪B)(A∪B) = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

LIST the elements in the set (A∩BA∩B):
(A∩B)(A∩B) = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE

You may want to draw a Venn Diagram to help answer this question.

Answer 1

Answer: 1) A∪B={1,2,3,4,5,8,9,11,12,14,15,17,18,19}

2) A∩B = { 2,3,8,9,12,18,19}

Explanation:

Since we have given that

A={1,2,4,5,8,9,11,12,14,15,17,18,19}

B={2,3,8,9,12,18,19}

So, we need to find the union of above sets and intersection of above sets.

Since union is the collection of all elements either in A or in B.

So, it becomes,

A∪B={1,2,3,4,5,8,9,11,12,14,15,17,18,19}

And intersection is the common element both in A and B.

A∩B = { 2,3,8,9,12,18,19}