What is the Difference Between Membership & Subset?

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In this video, I cover examples of memberships and subsets.

This problem can be found in the free open-access textbook: "Applied Discrete Structures", authored by Dr. Ken Levasseur and Dr. Al Doerr

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My name is Kody Amour, and I teach free undergraduate mathematics courses on YouTube. I'm currently developing three YouTube courses simultaneously: Discrete Math, Linear Algebra, Real Analysis, Topology, Number Theory and Complex Analysis. These courses correspond to playlists that I am constructing indefinitely.

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Credit to all of the authors of all of the resources below that greatly helped influence this video.

Free open-access online math textbooks (I only use textbooks from this resource, since everything is free for my students):

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This is the best breakdown of the difference between an element and a subset I could find! A big thanks!

oddipyloris
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the empty set is a subset because a subset can be created by removing elements from a set. So if you remove element by element from a set, creating subset of subsets. then finally you have the empty set which is subset to its set before removing the last element

DrAven-esrg
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