Mathmatical Definitions
Terms
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- Singleton Set
- a set having exactly 1 element
- Set
- any collection of objects or elements
- Subset
- A is a subset of B IFF every element of A is also in B
- Union of 2 Sets
- union of 2 sets A and B is the set of all elements that are in set A or B
- Intersection of 2 Sets
- elements that are in set A and B
- Disjoint
- 2 sets with no elements in common. 2 sets A and B are disjoint if their intersection is empty
- Solution Set
- set of all elements from the domain that make the statement true.
- Empty Set
- a set that has no elements
- Natural Numbers
- numbers as you would count. {1,2,3,...)
- Whole Numbers
- Natural numbers plus {0}
- Integers
- whole numbers plus negatives.
- Opposites
- 2 numbers that have a sum of 0
- Rational Numbers
- any number that can be written as a ratio of 2 integers but the demoninator cannot be 0. all repeating decimals are rational.
- Irrational Numbers
- non-terminating, non-repeating decimals like the square root of 2 or Pi. all non-perfect squares are irrational.
- Real Numbers
- Rational numbers in union with(in addition to) irrational numbers