Set Notation & Venn DiagramsCambridge IGCSE Maths: Flashcards
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What does n(A) mean?
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- What does n(A) mean?
- The number of elements in set A.
- What does A' mean?
- The complement of A — all elements not in A.
- What does the symbol for the universal set look like and mean?
- E (script E) — the set of all elements under consideration.
- What does A ∪ B mean?
- The union of A and B — elements in A or B (or both).
- What does A ∩ B mean?
- The intersection of A and B — elements in both A and B.
- What does ∅ represent?
- The empty set — a set with no elements.
- What does A ⊆ B mean?
- A is a subset of B — every element of A is also in B.
- What does x ∈ A mean?
- x is an element of set A.
- What is a Venn diagram used for?
- To show the relationships between sets using overlapping circles inside a rectangle representing the universal set.
- How many overlapping circles does Core tier use in Venn diagrams?
- Two sets maximum.
- How many overlapping circles can Extended tier use?
- Up to three sets.
- What formula links n(A∪B), n(A), n(B) and n(A∩B)?
- n(A∪B) = n(A) + n(B) − n(A∩B)
- In a Venn diagram, where do elements in neither set go?
- Outside the circles but still inside the rectangle representing the universal set.
- Write in set-builder notation: the set of x such that a ≤ x ≤ b.
- C = {x : a ≤ x ≤ b}