set - a collection or group of objects that are well defined, element - the term given to the objects of a set, ∈ ∉ - is an element of, is not an element of, cardinal number, # - the number of elements in a set, the null set, ∅ or { } - the empty set or set with no element, equal sets - two sets are equal if they contain the exact same elements, what order the elements are in does not matter, subsets, ⊂ - a set containing some or all the elements of another, proper subsets - all other subsets apart from the null set and the set itself, improper subsets - the set itself and the null sets, intersection, ∩ - the set of elements that are common to two sets, union, ∪ - the set of elements that are in both sets, the universal set, U - the set in which all elements come from, drawn as a rectangle, complement, ‘ - the elements in the universal set that are not in the set itself, difference, \ - The set of elements in one set that are not in the other, union and Intersection are commutative - A ∩ B = B ∩ A and A ∪ B = B ∪ A, difference & complement are not commutative - A\B ≠ B\A and  A’ ≠ B’, union and intersection are associative - (A ∪ B) ∪ C = A ∪ (B ∪ C) and  (A ∩ B) ∩ C = A ∩ (B ∩ C), difference is not associative  - (A\B) \ C ≠ A \ (B\C), union of sets is distributive across intersection and intersection is distributive across union - A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) and A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) , difference is not distributive across union or intersection - A\(B ∪ C) ≠ (A\B) ∪ (A\C) and A\(B ∩ C) = (A\B) ∩ (A\C),

JC Sets

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