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.
Want to watch more videos like this?
📺 SUBSCRIBE to my channel here: [ Ссылка ]
🌐 Website: [ Ссылка ]
👍 Facebook: [ Ссылка ]
🐦Twitter: [ Ссылка ]
🙋♂️ Have questions? I'm here to help you learn your math courses in an easy way. Leave a comment below and I will try to answer it as soon as I can. You can also leave topics that you need help with and I will create those videos for you.
![](https://i.ytimg.com/vi/7BLUjJpzKWs/maxresdefault.jpg)