What are subsets and proper subsets | Set Theory Simplified
Channel: MathHub TV
Date: 20/01/2021

In this lesson, we are going to answer the question "What are subsets and proper subsets?"  
A subset is a set whose elements are all members of another set. The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of". This video is part of our series on Set Theory Simplified.  

⏲️ Timestamps ⏲️
Objectives (0:00)
Definition of a subset (0:36)
Example:  Using subset and not subset symbol (2:15)
The empty set is a subset of any set (7:46)
How many subsets does a set of n elements have (8:42)
Example:  Find the number of subsets and proper subsets of a set (13:06)
Cardinality of Natural Numbers and the number of subsets of natural numbers (15:09)

Reference:  Blitzer, Robert F (2019).  Thinking Mathematically, 7th Edition.  Pearson Education, Inc. 

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