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Title: Union, Intersection, Differences and Power Set
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Series: Start Learning Sets
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Parent Series: Start Learning Mathematics
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Chapter: Sets and Maps
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YouTube-Title: Start Learning Sets 3 | Union, Intersection, Differences and Power Set
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Bright video: Watch on YouTube
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Dark video: Watch on YouTube
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Original video for YT-Members (bright): Watch on YouTube
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Original video for YT-Members (dark): Watch on YouTube
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Forum: Ask a question in Mattermost
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Subtitle on GitHub: sls03_sub_eng.srt missing
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Download bright video: Link on Vimeo
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Download dark video: Link on Vimeo
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Definitions in the video: superset of a set, union of sets, intersection of sets, set difference, big union symbol, big intersection symbol, power set
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: What is the correct definition for the union of two sets $A$ and $B$?
A1: $A \cup B =$ $\{ x \mid x \in A \vee x \in B \}$
A2: $A \cup B =$ $\{ x \mid x \in A \wedge x \in B \}$
A3: $A \cup B =$ $\{ x \mid x \in A \wedge x \in \neg B \}$
A4: $A \cup B =$ $\{ x \mid x \in A \text{ and }x \in B \}$
Q2: What is the correct definition for the intersection of two sets $A$ and $B$?
A1: $A \cap B =$ $\{ x \mid x \in A \vee x \in B \}$
A2: $A \cap B =$ $\{ x \mid x \in A \wedge x \in B \}$
A3: $A \cap B =$ $\{ x \mid x \in A \wedge x \in \neg B \}$
A4: $A \cap B =$ $\{ x \mid x \in A \text{ or }x \in B \}$
Q3: What is not correct for the sets $A=\{ 1, 4, 6 \}$ and $B= \{ 2,4,6 \}$?
A1: $A \cap B =$ $\{ 4 \}$
A2: $A \cup B =$ $\{ 1,2,4,6 \}$
A3: $A \setminus B =$ $\{ 1 \}$
A4: $ |A| = 3 $
Q4: What is the power set of $A=\{ 1,2 \}$?
A1: $ \mathcal{P}(A) = $ $\{ \emptyset, \{ 1 \}, \{ 2 \} , \{ 1,2 \} \} $
A2: $ \mathcal{P}(A) = $ $\{ \emptyset, \{ 1 \}, \{ 1,2 \} \} $
A3: $ \mathcal{P}(A) = $ $\{ \emptyset, \{ 1 \}, \{ 2 \} \} $
A4: $ \mathcal{P}(A) = $ $\{ \{ 1 \}, \{ 2 \} , \{ 1,2 \} \} $
A5: $ \mathcal{P}(A) = $ $\{ \emptyset, \{ 1 \}, \{ 2 \} , \{3 \}, \{ 1,2 \} \} $
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Last update: 2025-09
