AI generatedProbabilityKey Stage 3

Reading union and intersection notation

Reading union and intersection notation.

  • The rectangle is the universal set. The overlap belongs to both sets.
  • Fill the overlap first; subtract it from each set total to find the “only” regions.
  • Union means either or both; intersection means both; complement means outside the named set.

Example 1

Find the number of people in .

Two-set Venn diagramξAB4253
Union means in A or B or both.
Two-set Venn diagramξAB4253

Example 2

Find the number of people in .

Two-set Venn diagramξAB5354
Intersection means in both sets.
Two-set Venn diagramξAB5354

Your turn

Question 1

Find the number of people in .

Two-set Venn diagramξAB6455
Check answer
Union means in A or B or both.
Two-set Venn diagramξAB6455
Question 2

Find the number of people in .

Two-set Venn diagramξAB7556
Check answer
Intersection means in both sets.
Two-set Venn diagramξAB7556
Question 3

Find the number of people in .

Two-set Venn diagramξAB8657
Check answer
Union means in A or B or both.
Two-set Venn diagramξAB8657
Question 4

Find the number of people in .

Two-set Venn diagramξAB9758
Check answer
Intersection means in both sets.
Two-set Venn diagramξAB9758
Question 5

Find the number of people in .

Two-set Venn diagramξAB10269
Check answer
Union means in A or B or both.
Two-set Venn diagramξAB10269
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