## Nothing going on here, move along…

### Venn diagram equations

∩ = And or Λ

υ = Or or V

– = not or ¬

Intersection – Where two circles connect and make another section

Union – All the numbers within the circles

Complement – The area outside of the circles but inside the box, specifically the numbers in this area

Disjoint – When the circles do not intersect

Power sets

If A = {1, {1}, {2}, 3}

The elements are each of the items within the outside brackets eg. 1, {1}, {2}, 3

The subset is the format of each item of a set eg. {1},{{1}}, {{2}}, {3}

### Sets and relations

Sets

Any defined collection of items with something in common

Relationship

A relationship is how items of a set relate to each other. Most often used to define a subset within a group

Language of sets

If the set has only a few members you can write all the elements between curly brackets eg. P = {Peter, John, Paul}

If there is a clear pattern you can use three eclipses (dots) eg. S = {2, 4, 6, 8…}

N = Natural numbers

W = Whole numbers

J = Intergers

Q = Rational numbers

R = Real numbers

Subsets

Subsets are equal to their sets, so A=B and B=A