4MA1/2F Jun 2022, Question 16: Venn Diagrams
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks
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The question, in short
Using ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 7, 8, 9} and B = {1, 2, 4, 5, 7, 8, 10}, place all elements in the correct regions of a two-set Venn diagram.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1In both A and B: 2, 7, 8 go in the overlap
- 2In A only: 3, 9
- 3In B only: 1, 4, 5, 10
- 4In neither: 6 goes outside both circles
AnswerVenn diagram with regions filled as follows: intersection A ∩ B = {2, 7, 8}, A only = {3, 9}, B only = {1, 4, 5, 10}, outside A and B = {6}
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