4MA1/2F Jun 2024, Question 15: Venn Diagrams
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks
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The question, in short
Given sets ℰ, A and B, place the elements into the correct regions of a two-circle Venn diagram.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1A = {11, 14, 16, 19} and B = {12, 14, 15, 16, 18, 20}
- 214 and 16 are in both sets, so they go in the overlap
- 3Taking those out of A leaves 11 and 19 in A only
- 4Taking those out of B leaves 12, 15, 18 and 20 in B only
- 5The numbers left over from 11 to 20 are 13 and 17, which go outside both circles
AnswerA only: 11, 19 A∩B: 14, 16 B only: 12, 15, 18, 20 outside both: 13, 17
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