QuestionGiven the universal set $S=\{1,2,\ldots,20\}$ and subsets $A=\{1,3,4,7,10,13,17,18,19,20\}$ and $B=\{1,2,5,9,10,12,17,20\}$, find $(A \cup B)$ and $(A \cap B)$.

Studdy Solution
To find the intersection of sets A and B, we list all the elements that are in both A and B.
$$(A \cap B) = \{1,10,17,20\}$$So, the union of sets A and B is {1,2,3,4,5,7,9,10,12,13,17,18,19,20} and the intersection of sets A and B is {1,10,17,20}.