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Sets

Describing sets by listing and by a rule, number sets ℕ, ℤ, ℚ, ℝ, subsets and equal sets, intersection, union, difference, complement and Venn diagrams with two and three sets.

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Available exercises

Describing a set

Turn a set given in set-builder notation into a list of its elements, and the other way round.

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Number sets ℕ, ℤ, ℚ, ℝ

Decide which number sets a number belongs to.

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Subsets and equal sets

Decide whether one set is a subset of the other or whether the sets are equal.

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Intersection, union, difference and complement

Find the elements of the intersection, union, difference and complement of sets.

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Venn diagrams with two sets

Shade sets in a Venn diagram and solve word problems about two sets.

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Venn diagrams with three sets

Shade sets, read numbers from a diagram and solve word problems about three sets.

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📚 Want to learn more?

  • Sets and set notation — introduction
  • Number sets: natural, integers, rational, real
  • Subsets and equal sets
  • Intersection, union, difference and complement
  • Venn diagrams with two sets
  • Venn diagrams with three sets
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