Subset, strict subset, and superset | Probability and Statistics | Khan Academy | Summary and Q&A

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March 13, 2013
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Khan Academy
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Subset, strict subset, and superset | Probability and Statistics | Khan Academy

TL;DR

This video explains the concepts of sets, subsets, and supersets, illustrating with examples and providing notations for each.

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Questions & Answers

Q: What is a subset?

A subset is a set where every element is also a member of another set. In other words, all the elements in the subset are also present in the larger set.

Q: Is set B a subset of set A?

Yes, set B is a subset of set A. Every member of set B (1, 7, and 18) is also present in set A.

Q: Can set C be considered a subset of set A?

No, set C is not a subset of set A. While set C does have elements that are present in set A (18, 7, and 1), it also contains an additional element (19) that is not present in set A.

Q: What is a strict subset?

A strict or proper subset refers to a subset that is not equal to the larger set. In the video, it is denoted by crossing out the equal part of the less than or equal sign. Set B is a strict subset of set A because it contains elements from A but not all the elements of A.

Summary & Key Takeaways

  • The video introduces sets A, B, and C, consisting of different numbers.

  • A subset is a set where every element is also a member of another set.

  • Set B is a subset of set A, but not equal to A, making it a strict or proper subset.

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