Edexcel IGCSE Math A 1.5.D set complements

Practise complement questions by listing A' or outside-union members and using empty intersections to choose valid values.

Exam points

List members of A' or (A ∪ B)' from the universal set without repeats.
Find set D when D ∩ (A ∪ C) is empty by choosing only members outside the union.
Use complement notation to identify counts or members outside named sets.

[Maximum number: 1]

100 farmers are asked if they have goats (G), sheep (S) or chickens (C) on their farms.
Of these farmers
31 have sheep
53 have chickens
6 have goats, sheep and chickens
11 have sheep and goats
17 have sheep and chickens
18 have goats and chickens
20 do not have any goats, sheep or chickens

Find

$\mathrm{n}\left([G \cup S]^{\prime}\right)$

Final answer:
$n\bigl((G\cup S)'\bigr)=44$

Follow through from the candidate's Venn diagram.

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1.5.D Complements of sets question 1