MATH SOLVE

2 months ago

Q:
# 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 DNELIST 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 DNEYou may want to draw a Venn Diagram to help answer this question.

Accepted Solution

A:

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}Step-by-step 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}