## Individual Research Project Section 2.5

### Project 2.5

Let *S* be the set of all real numbers between 0 and 1. Prove that the set *S* is not a countable set.… See the whole entry

Let *S* be the set of all real numbers between 0 and 1. Prove that the set *S* is not a countable set.… See the whole entry

*Venn diagrams with two, three, and four sets:*

*If you click on the question mark, you can practice with three overlapping sets.*

http://www.math.csusb.edu/notes/sets/node5.html

*This site shows a statement of De Morgan’s law.*

https://www.quora.com/What-is-the-significance-of-De-Morgans-Laws… See the whole entry

*This is a web-based instructional module on the algebra of sets.*

http://www.math-only-math.com/laws-of-algebra-of-sets.html

*Union of Sets:*

https://www.basic-mathematics.com/union-of-sets.html

*Intersection of Sets:*

https://www.basic-mathematics.com/intersection-of-sets.html

*Venn Diagrams for union and intersection:*

https://www.mathsisfun.com/sets/venn-diagrams.html… See the whole entry

*Basic concepts and notation for sets:*

http://www.math.utah.edu/~alfeld/math/sets.html

*This (slightly advanced) site reviews sets and set notation:*

http://www.math.csusb.edu/notes/sets/node1.html#SECTION00010000000000000000 … See the whole entry

- Denoting sets
- undefined term; set
- circular definition
- specifying sets
- description method
- roster method

- well-defined set
- terms
- members
- elements
- belong to
- contained in

- Sets of numbers
- natural numbers
- counting numbers
- integers
- rational numbers

- set-builder notation

- Equal and equivalent sets