IGCSE Mathematics Help and Revision Guide Cambridge International Prep for Examinations
Number, set notation and language
Use language, notation and Venn diagrams to describe sets and represent relationships between sets.In a class of 25 members, 15 take history, 17 take geography and 3 take neither subject.
How many class members take both subjects?
Let H = set of History students, so n(H) = 15.
Let G = set of Geography students,
so n(G) = 17 and n(H ∪ G) = 22 (since 3 students take neither subject).
Let x represent the number taking both subjects. Now we can draw the Venn diagram.
n(H ∪ G) + n(H ∩ G) = n(H) + n(G)
22 + х = 15 + 17.
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