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0580/23 May/Jun 2024, Question 13: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 2 marks

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The question, in short

Venn diagram questions: shade a region for A ∪ B′, and write set notation for a shaded region in a three-set diagram.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

On the two-set Venn diagram, shade the region representing A ∪ B′.

  1. 1B′ is everything outside B; A ∪ B′ adds all of A
  2. 2Shade every region except the part of B outside A

AnswerAll regions shaded except the part of B outside A

Part (b) · 1 mark

For the three-set diagram, express the shaded part of R outside P and Q in set notation.

  1. 1Shaded region is in R but not in P and not in Q
  2. 2R ∩ (P ∪ Q)′

AnswerR ∩ (P ∪ Q)′ or R ∩ P′ ∩ Q′

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Also searched as: 0580/23/M/J/24 · 0580_s24_qp_23 · 0580 s24 23 · question 13.
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