## Glossary of Math 109

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- natural number
- [1,2,3,4,5,6...]

- whole numbers
- [0,1,2,3,4,5...]

- integers
- [...5,4,3,2,1,0,1,2,3,4,5...]

- rational numbers
- numbers whosse decimal representation is an integer, a terminating decimal, or a repeating decimal

- Set
- a collection of objects

- element
- anything inside a set is an element of that set

- equal sets
- if two or more sets have all of the same elements

- subset
- everything in set A is in set B. Everything in set B does not have to be in set A.

- proper subset
- if every element in set A is in set B but set A is not = to set B.

- complement of a set
- all element in the universal set that are not in the set beind examined.

- intersection of sets
- all elements that 2 or more sets have in common.

- union of sets
- all the elements in 2 or more sets combined

- difference of sets
- the set of all elements in one set that are not in another set.

- cartesian product of 2 sets
- AxB, All ordered pairs with A=X and B=Y

- cardinal number (or cardinality) of a set
- the number of elements in a set

- E
- is an element of

- C

- - can or cannot be equal sets

- C
- definitely equal sets

- how do you determine how many subsets a given set has?
- the # of subsets of a set with N elements is 2n.

- How do you determine how many proper subsets a given set has?
- the # of proper subsets of a set with n elements is 2n-1