Questions: Resources: Sets, Venn Diagrams Tw... 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=1,8,10,11,14,19 Set B=1,2,3,5,6,9,11,12 Find the following: LIST the elements in the set (A ∪ B) : (A ∪ B)= Enter the elements as a list, separated by commas. If the result is the emp LIST the elements in the set (A ∩ B) : (A ∩ B)= Enter the elements as a list, separated by commas. If the result is the empt

Resources: Sets, Venn Diagrams  Tw...
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=1,8,10,11,14,19
Set B=1,2,3,5,6,9,11,12 Find the following:

LIST the elements in the set (A ∪ B) :
(A ∪ B)=

Enter the elements as a list, separated by commas. If the result is the emp
LIST the elements in the set (A ∩ B) :
(A ∩ B)=

Enter the elements as a list, separated by commas. If the result is the empt
Transcript text: Resources: Sets, Venn Diagrams \& Tw... 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 $A=\{1,8,10,11,14,19\}$ Set $B=\{1,2,3,5,6,9,11,12\} Find the following: LIST the elements in the set $(A \cup B)$ : \[ (A \cup B)=\{\square\} \] Enter the elements as a list, separated by commas. If the result is the emp LIST the elements in the set $(A \cap B)$ : \[ (A \cap B)=\{ \] $\square$ Enter the elements as a list, separated by commas. If the result is the empt
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Solution

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Find the elements in the set \( (A \cup B) \):

Identify the elements in set \( A \):

Set \( A = \{1, 8, 10, 11, 14, 19\} \).

Identify the elements in set \( B \):

Set \( B = \{1, 2, 3, 5, 6, 9, 11, 12\} \).

Combine the elements of \( A \) and \( B \) without repetition:

\( A \cup B = \{1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 14, 19\} \).

\\(\boxed{(A \cup B) = \{1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 14, 19\}}\\)

Find the elements in the set \( (A \cap B) \):

Identify the elements in set \( A \):

Set \( A = \{1, 8, 10, 11, 14, 19\} \).

Identify the elements in set \( B \):

Set \( B = \{1, 2, 3, 5, 6, 9, 11, 12\} \).

Find the common elements in \( A \) and \( B \):

The common elements are \( \{1, 11\} \).

\\(\boxed{(A \cap B) = \{1, 11\}}\\)

\\(\boxed{(A \cup B) = \{1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 14, 19\}}\\)
\\(\boxed{(A \cap B) = \{1, 11\}}\\)

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