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1.5 Venn Diagrams

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Part of NCERT 11 Mathematics

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Last updated Jan 31, 2026. Clone to remix or explore the blocks below.
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concept

Universal Set

The context for all sets

Universal Set - The Big Box

The universal set contains all objects under consideration in a particular discussion.

Symbol: UU

Think: The universe for your problem. Everything you're talking about fits inside this box.

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concept

Venn Diagrams

Visualizing set relationships

Venn Diagrams - Pictures of Sets

A Venn diagram uses shapes to represent sets visually.

Invented by: John Venn (1834-1923), British logician

Why they rock: You can SEE relationships between sets instantly!

A B
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interactive

Venn Diagram Explorer

See set relationships visually

ABC123456789A = {1,2,3,4,5} B = {3,4,5,6,7} C = {1,4,5,7,8}tap to place numbers

Three overlapping sets create 7 regions plus the outside.

Given:

  • A = {1, 2, 3, 4, 5}
  • B = {3, 4, 5, 6, 7}
  • C = {1, 4, 5, 7, 8}

Key Operations:

  • A ∩ B ∩ C = {4, 5} — in all three
  • A ∩ B = {3, 4, 5} — shared by A and B
  • A ∩ C = {1, 4, 5} — shared by A and C
  • B ∩ C = {4, 5, 7} — shared by B and C
  • A ∪ B ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}

Tap to place each number in its correct region.