Sets

Comprehend and apply set terminology, notation, and Venn diagrams involving two or three sets. Use Venn diagrams to illustrate sets and express relationships between them. The following set notation will be utilized: • n(A) indicates the number of elements in set A • ‘… is an element of …’ • ‘… is not an element of …’ • A' denotes the complement of set A • ∅ represents the empty set • Universal set is denoted as U • A ⊆ B indicates that A is a subset of B • A ⊈ B indicates that A is not a subset of B • A ∪ B signifies the union of sets A and B • A ∩ B signifies the intersection of sets A and B. Example definitions of sets include: A = {x: x is a natural number}, B = {(x, y): y = mx + c}, C = {x: a ≤ x ≤ b}, D = {a, b, c, …}.