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Sets - Coggle Diagram
Sets
symbols
{ } Set: a collection 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 B C ∩ D = {3, 4}
A ⊆ B Subset: every element of A is in B. {3, 4, 5} ⊆ D
A ⊂ B Proper Subset: every element of A is in B,
but B has more elements. {3, 5} ⊂ D
A ⊄ B Not a Subset: A is not a subset of 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 not a superset of B {1, 2, 6} ⊅ {1, 9}
Ac Complement: elements not in A Dc = {1, 2, 6, 7}
When set universal = {1, 2, 3, 4, 5, 6, 7}
A − B Difference: in A but 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 element of: b is not in A 6 ∉ {1, 2, 3, 4}
∅ Empty set = {} {1, 2} ∩ {3, 4} = Ø
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