IGCSE Mathematics Extended E1.2.1 Understand and use set language, notation and Venn diagrams to describe Question Bank

• Understand and use set language, notation and Venn diagrams to describe sets and represent relationships between sets. Venn diagrams are limited to two or three sets. The following set notation will be used: • n(A) Number of elements in set A • ∈ “… is an element of …” • ∉ “… is not an element of …” • A′ Complement of set A • ∅ The empty set • Universal set • A ⊆ B A is a subset of B • A ⊈ B A is not a subset of B • A ∪ B Union of A and B • A ∩ B Intersection of A and B. Example definition of sets: A = {x: x is a natural number} B = {(x, y): y = mx + c} C = {x: a ⩽ x ⩽ b} D = {a, b, c, … }.