A set is a arsenal of things, normally numbers. We can list each aspect (or "member") the a collection inside curly brackets favor this:
Common Symbols supplied in set Theory
Symbols conserve time and an are when writing. Below are the most common collection symbols
In the instances C = 1, 2, 3, 4 and also D = 3, 4, 5
| Set: a arsenal of elements | 1, 2, 3, 4 | |
| A ∪ B | Union: in A or B (or both) | C ∪ D = 1, 2, 3, 4, 5 |
| A ∩ B | Intersection: in both A and also B | C ∩ D = 3, 4 |
| A ⊆ B | Subset: every facet of A is in B. You are watching: What does the sideways u mean in math | 3, 4, 5 ⊆ D |
| A ⊂ B | Proper Subset: every facet of A is in B,but B has more elements. | 3, 5 ⊂ D |
| A ⊄ B | Not a Subset: A is not a subset that B | 1, 6 ⊄ C |
| A ⊇ B | Superset: A has same elements as B, or more | 1, 2, 3 ⊇ 1, 2, 3 |
| A ⊃ B | Proper Superset: A has B"s elements and more | 1, 2, 3, 4 ⊃ 1, 2, 3 |
| A ⊅ B | Not a Superset: A is no a superset that B | 1, 2, 6 ⊅ 1, 9 |
| Ac | Complement: elements not in A | Dc = 1, 2, 6, 7When = 1, 2, 3, 4, 5, 6, 7 |
| A − B | Difference: in A yet not in B | 1, 2, 3, 4 − 3, 4 = 1, 2 |
| a ∈ A | Element of: a is in A | 3 ∈ 1, 2, 3, 4 |
| b ∉ A | Not facet of: b is no in A | 6 ∉ 1, 2, 3, 4 |
| Ø | Empty set = | 1, 2 ∩ 3, 4 = Ø |
| Universal Set: collection of all possible values(in the area the interest) | ||
| P(A) | Power Set: all subsets of A | P(1, 2) = , 1, 2, 1, 2 |
| A = B | Equality: both sets have actually the exact same members | 3, 4, 5 = 5, 3, 4 |
| A×B | Cartesian Product(set that ordered pairs from A and B) | 1, 2 × 3, 4= (1, 3), (1, 4), (2, 3), (2, 4) |
| |A| | Cardinality: the number of elements of collection A | |3, 4| = 2 |
| | | Such that | n = 1, 2, 3,... |
| : | Such that | n : n > 0 = 1, 2, 3,... |
| ∀ | For All | ∀x>1, x2>x For all x better than 1x-squared is better than x |
| ∃ | There Exists | ∃ x | x2>x there exists x such thatx-squared is better than x |
| ∴ | Therefore | a=b ∴ b=a |
 | Natural numbers | 1, 2, 3,... Or 0, 1, 2, 3,... See more: What Happens If You Use Too Much Baking Powder And Baking Soda |
 | Integers | ..., −3, −2, −1, 0, 1, 2, 3, ... |
 | Rational Numbers | |
 | Algebraic Numbers | |
 | Real Numbers | |
 | Imaginary Numbers | 3i |
 | Complex Numbers | 2 + 5i |