Operations on Sets

Union

A ∪ B = { x | x ∈ A ∨ x ∈ B }

Sets - Union

Intersection

A ∩ B = { x | x ∈ A ∧ x ∈ B }

Sets - Intersection

Difference

A ∖ B = { x | x ∈ A ∧ x ∉ B }

Sets - Difference

Symmetric Difference

A Δ B = { A ∖ B } ∪ { B ∖ A }

Sets - Symmetric Difference

Subsets

A ⊆ B

Sets - Subsets

Complements

A ¯ = { x | x ∈ B ∧ x ∉ A }

Sets - Complements

Keywords: sets, union, intersection, difference, symmetric difference, subsets, complements