Set Operations

Union

$$A ∪ B = {x|x ∈ A ∨ x ∈ B}$$ $$A_1 \cup A_2 \cdots \cup A_n=\bigcup_{i=1}^{n}A_i$$

Intersection

$$A ∩ B = {x|x ∈ A ∧ x ∈ B}$$ $$A_1 \cap A_2 \cdots \cap A_n=\bigcap_{i=1}^{n}A_i$$

Disjoint

$$A ∩ B = ∅$$

Difference (complement of B w/ respect to A)

$$A - B = {x|x ∈ A ∧ x ∉ B}$$

Complement

$$A̅ = {x|x ∉ A}$$

References