Chapter 2 Terms Flashcards
Sets
- Any group or collection of objects
In what two ways is a set designated?
- Words/description (Natural numbers, planets starting with M, etc.)
- Roster/list ({1,2,3,4,…}, {Mercury, Mars}
Natural Numbers, N
- N = {1,2,3,4,5,…}
Whole Numbers, W
- W = {0,1,2,3,4,5,…}
Integers, I (Sometimes Z)
- I/Z = {…,-3,-2,-1,0,1,…}
Rational Numbers, Q
- Q = any number written as a fraction
Irrational Numbers, (Weird Fancy I)
- (Weird Fancy I) = non-repeating decimals
E
- Is an element of
E with a Line through It
- Is not an element of
O with a Line through It
- Null set, empty set, { }
|
- Such that
Finite
- The number of elements that can be counted, n(A)
n(A)
- The number of elements in set A
Cardinal Number
- The number of elements in a set
Well-Defined
- It is possible to determine if element is a member of a set (or not)
Equal, A=B
- Exactly the same elements
Equivalent, A(wavy line)B
- Exactly the same NUMBER OF elements
- i.e. same cardinality
Universal Set, U
- All possible members of a set
Complement, A’ (A Prime)
- All the members of U not in A
- Mutually exclusive
Subset, A(C over line)B
- Every element of A is also an element of B
Proper Subset, ACB
- Every element of A is also an element of B but A does not equal B
Intersection, N
- The set of elements common to both sets
Union, U
- The set of elements in both sets
When filling out a venn diagram, where do you start and go to?
- Start in the middle
- Work your way out
What do you do if you’re filling out a venn diagram and the number of answers exceeds the number of the survey?
- That means that some numbers would go outside of the venn diagram and into the open space.
What does “or” indicate?
- Increase
For all finite sets A and B, what is the inclusion and exclusion formula?
- n(AuB) = n(A) + n(B) - n(AnB)