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4MA1/1HR Jun 2019, Question 13: Three-Set Venn Diagrams

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 2 marks

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The question, in short

Venn diagram questions on sets: shade a given set expression, then write set notation for a shaded region involving three sets.

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

Part (a) · 1 mark

Shade the region on the Venn diagram representing (A ∪ B)′ ∩ C.

  1. 1(A ∪ B)′ is everything outside A and outside B
  2. 2The set asked for is that region and C at the same time
  3. 3So shade only the part of C that is outside both A and B

AnswerShade the part of C that lies outside both A and B

Part (b) · 1 mark

Write set notation describing the shaded part of F lying inside D or E.

  1. 1The shaded region is inside F
  2. 2It is also inside D or inside E
  3. 3So the region is (D ∪ E) ∩ F

Answer(D ∪ E) ∩ F

Stuck on a step? Read the free lesson: Three-Set Venn Diagrams

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