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0580/23 Oct/Nov 2021, Question 14: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks

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The question, in short

Using the Venn diagram with sets P and Q inside ℰ, list the elements of P ∪ Q, then find n(Q) and n(P′ ∩ Q).

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

Part (a) · 1 mark

Write the set of elements belonging to P or Q or both, using the labelled letters.

  1. 1P ∪ Q is every element in P or Q or both
  2. 2P ∪ Q = {b, c, d, e, f, g}

Answerb, c, d, e, f, g

Part (b) · 1 mark

State the number of elements that are in set Q.

  1. 1Q = {d, e, f, g}
  2. 2n(Q) = 4

Answer4

Part (c) · 1 mark

State the number of elements outside P but inside Q.

  1. 1P′ ∩ Q is in Q but not in P
  2. 2P′ ∩ Q = {e, f, g}
  3. 3n(P′ ∩ Q) = 3

Answer3

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Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 14.
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