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Edexcel IGCSE Math A Foundation 1.5.C universal set and empty set

Edexcel IGCSE Math A Foundation 1.5.C universal set and empty set
Edexcel IGCSE Math A syllabusMath A 4MA1First assessment 2018

Practise universal-and-empty-set questions by explaining what an empty intersection means in a list, Venn diagram or real context.

How this is tested

  • Interpret the empty set as showing that no members satisfy the stated condition.
  • Explain what an empty-set statement means in a context such as fish in a lake.

Question 16(c)

[Maximum number: 1]

E={fish in Jake’s lake}\mathcal E=\{\text{fish in Jake's lake}\}A={fish of length greater than 20 cm}A=\{\text{fish of length greater than }20\text{ cm}\}B={fish that weigh more than 1 kg}B=\{\text{fish that weigh more than }1\text{ kg}\}C={fish less than 1 year old}C=\{\text{fish less than 1 year old}\}

A fish in Jake's lake is caught.
The fish is 2 years old, weighs 1.2 kg and is 19 cm in length.

Explain what this statement tells us about the fish in Jake's lake.