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X ∪ Y?
Union, all elements present in X or Y or both.
X ∩ Y?
Intersection, all elements present in both X and Y.
X \ Y?
Difference, all elements present in X but not in Y.
Y \ X?
Difference, all elements present in Y but not in X.
X x Y?
Product, collection of all tuples (a,b) where a ∈ X and b ∈ Y.
|X|
Size, number of elements in X.
X ⊂ Y
Subset, every element present in X is also present in Y. (X is not the same as Y)
X ⊃ Y?
Superset, every element present in Y is also present in X. (X is not the same as Y)
What is a power set?
Power({1,2}) = {1}, {2}, {1,2}, and {}