Lemmara logoLemmaraWorked solution

4MA1/2F Jun 2021, Question 18: Set Notation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using the universal set of alphabet letters, with sets B and I given, find set operations and explain why a statement about B and K is incorrect.

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

Part (ai) · 1 mark

List the members of B union I.

  1. 1B contains: b, r, a, z, i, l
  2. 2I contains: i, r, e, l, a, n, d
  3. 3Union means all letters in either set
  4. 4Combine all letters without repetition
  5. 5a, b, d, e, i, l, n, r, z

Answera, b, d, e, i, l, n, r, z

Part (aii) · 1 mark

List the members of B intersect the complement of I.

  1. 1B contains: b, r, a, z, i, l
  2. 2Iʹ means letters not in I
  3. 3I has: i, r, e, l, a, n, d
  4. 4So Iʹ does not include: i, r, e, l, a, n, d
  5. 5Letters in B that are not in I: b, z
  6. 6b, z

Answerb, z

Part (b) · 1 mark

Explain why Cody's claim that B intersect K is empty is wrong.

  1. 1B = {b, r, a, z, i, l}
  2. 2K = {k, e, n, y, a}
  3. 3Common letter is 'a'
  4. 4'a' appears in both B and K
  5. 5So B ∩ K is not empty
  6. 6letter ‘a’ is in both sets

Answerletter ‘a’ is in both sets

Stuck on a step? Read the free lesson: Set Notation

Practise more set notation questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on set notation

Also searched as: 4MA1 2F June 2021 · 4MA1/2F · 4ma1 jun21 2f · question 18.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.