Questions: Let S be the universal set, where:
S=1,2,3, ..., 18,19,20
Let sets A and B be subsets of S, where:
Set A=4,10,11,12,13,15,16,18
Set B=2,5,6,8,9,10,11,12,13,17,18,19,20
Find the following:
LIST the elements in the set (A ∪ B) :
(A ∪ B)=
LIST the elements in the set (A ∩ B) :
(A ∩ B)=
Transcript text: Let $S$ be the universal set, where:
\[
S=\{1,2,3, \ldots, 18,19,20\}
\]
Let sets $A$ and $B$ be subsets of $S$, where:
Set $A=\{4,10,11,12,13,15,16,18\}$
Set $B=\{2,5,6,8,9,10,11,12,13,17,18,19,20\}$
Find the following:
LIST the elements in the set $(A \cup B)$ :
\[
(A \cup B)=\{
\]
LIST the elements in the set $(A \cap B)$ :
\[
(A \cap B)=\{
\]
Solution
Solution Steps
Step 1: Define the operation
The operation to perform is the union of sets \(A\), \(B\), and \(C\), denoted as \(A \cup B \cup C\).
Step 2: Perform the operation
To find the union, we combine all elements from \(A\), \(B\), and \(C\), removing duplicates.
Step 3: List the resulting elements
The resulting set after performing the union operation is: [2, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20].
Final Answer:
The union of sets \(A\), \(B\), and \(C\) is: [2, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20].
Final Answer:
The intersection of sets \(A\), \(B\), and \(C\) is (DNE).