Set Notation

set notation:
1. a collection of things
  1. each item in a set is called an “element” or member
  2. written in curly brackets { }
2. soccer = {alex, casey, drew} tennis = {drew, jade, hunter}
  1. soccer u tennis = {alex, casey, drew, jade, hunter}
interval notation
1. ( ] → not including integer, is including integer
2. ( ) → not including integer
3. [ ] → is including integer
different notations:
1. numbers
  1. N - natural numbers
  2. Q - rational numbers
  3. R - all rational/irrational numbers
  4. Z - integers
2. unions, elements, subsets
  1. unions
    1. ∪ - union
    2. ∩ intersection
  2. elements
    1. ∅ -null set, no elements
    2. ∈ - is an element of
    3. ∉ - belongs to
  3. subsets:
    1. ⊂ - is a proper subset
    2. ⊄ - is not a proper subset
    3. ⊆ - is a subset
    4. ⊊ - is not a subset
3. extras:
  1. ∶ and| - such that
  2. ∴ - therefore
  3. ∋ - contains
  4. ∀ - for all
  5. # -order or cardinality of a set
  6. ∃ - there exists
  7. A' or A∁ - complement of A
number lines:
1. o → hollow circle = doesn’t include the integer
2. • → filled in circle = includes integer
3. divide or multiply with - = flip the sign <>

Resource summary

	Created by sanyusu almost 9 years ago