You never gave any. I will explain what they are though.
A set is a collection of things, usually numbers. We can list each element (or "member") of a set inside curly brackets like this:
Here is a list of common symbols used in the set theory
SymbolMeaningExample
{ }Set: a collection of elements{1, 2, 3, 4}
A ∪ BUnion: in A or B (or both)C ∪ D = {1, 2, 3, 4, 5}
A ∩ BIntersection: in both A and BC ∩ D = {3, 4}
A ⊆ BSubset: every element of A is in B.{3, 4, 5} ⊆ D
A ⊂ BProper Subset: every element of A is in B,
but B has more elements.{3, 5} ⊂ D
A ⊄ BNot a Subset: A is not a subset of B{1, 6} ⊄ C
A ⊇ BSuperset: A has same elements as B, or more{1, 2, 3} ⊇ {1, 2, 3}
A ⊃ BProper Superset: A has B's elements and more{1, 2, 3, 4} ⊃ {1, 2, 3}
A ⊅ BNot a Superset: A is not a superset of B{1, 2, 6} ⊅ {1, 9}
AcComplement: elements not in ADc = {1, 2, 6, 7}
When set universal = {1, 2, 3, 4, 5, 6, 7}
A − BDifference: in A but not in B{1, 2, 3, 4} − {3, 4} = {1, 2}
a ∈ AElement of: a is in A3 ∈ {1, 2, 3, 4}
b ∉ ANot element of: b is not in A6 ∉ {1, 2, 3, 4}
ØEmpty set = {}{1, 2} ∩ {3, 4} = Ø
set universalUniversal Set: set of all possible values
(in the area of interest)
P(A)Power Set: all subsets of AP({1, 2}) = { {}, {1}, {2}, {1, 2} }
A = BEquality: both sets have the same members{3, 4, 5} = {5, 3, 4}
A×BCartesian Product
(set of 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 set A|{3, 4}| = 2
|Such that{ n | n > 0 } = {1, 2, 3,...}
:Such that{ n : n > 0 } = {1, 2, 3,...}
∀For All∀x>1, x2>x
For all x greater than 1
x-squared is greater than x
∃There Exists∃ x | x2>x
There exists x such that
x-squared is greater than x
∴Thereforea=b ∴ b=a
Natural NumbersNatural Numbers{1, 2, 3,...} or {0, 1, 2, 3,...}
IntegersIntegers{..., −3, −2, −1, 0, 1, 2, 3, ...}
Rational NumbersRational Numbers
Algebraic NumbersAlgebraic Numbers
Real NumbersReal Numbers
Imaginary NumbersImaginary Numbers3i
Complex NumbersComplex Numbers2 + 5i
