• Title: Union, Intersection, Differences and Power Set

  • Series: Start Learning Sets

  • Parent Series: Start Learning Mathematics

  • YouTube-Title: Start Learning Sets 3 | Union, Intersection, Differences and Power Set

  • Bright video: https://youtu.be/-KaEoTrOm7E

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  • Original video for YT-Members (bright): https://youtu.be/ZdZm6qBCFuo

  • Original video for YT-Members (dark): https://youtu.be/UQWtu9HfCAM

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  • Subtitle on GitHub: sls03_sub_eng.srt missing

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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 } } $

  • Last update: 2024-11

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