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)=

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 $(A \cap B)$ : \[ (A \cap B)=\{ \]
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Solution

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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).

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