IGCSE 4MA1 • Section 1.5
The Venn Painter: Set Language & Notation
Visual demonstration of Union (∪), Intersection (∩), Complement (′)
The Venn Painter
Select Notation to View:
A ∪ B
Everything in A OR B (or both)
The Logic Track
Current Explanation:
Union means "marriage" - combines both sets
The Dictionary
∪ = Union = OR (Like marriage: together)
∩ = Intersection = AND (Where paths cross)
The Prime Operator
A′ = Everything EXCEPT A
Memory trick: Cover A with your hand. What remains is A′
Special Symbols
ξ = Universal Set (The whole rectangle)
∅ = Empty Set (Nothing shaded at all)
⚠ Examiner Trap
A′ ≠ A ∩ B′
A′ = Everything outside A (includes B and outside)
A ∩ B′ = Only the part of A that doesn't touch B
Dynamic Solver
Notation Breakdown
Symbolic Form:
A ∪ B
English Translation:
Everything in A OR B (or both)
Regions Shaded:
onlyA, both, onlyB
💡 Mark Scheme Tip
In exams, you must shade the EXACT regions. Use a pencil first, then check before inking!
The Bridge Strategy
Phase 1Master Union (∪) and Intersection (∩) with 2 sets (Grade 4-5)
Phase 2Add Complements (′) and combined operations like A ∩ B′ (Grade 6-7)
Phase 3Tackle 3-set problems with complex notation (A ∪ B) ∩ C (Grade 8-9)
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