Venn Diagrams

Drawing sets as pictures

A Venn diagram is like two overlapping goat pens sharing a fence: some goats belong to pen A only, some to pen B only, and some stand in the shared middle bit belonging to both.

The rectangle represents ξ (everything), and circles inside it represent each set.

Example: ξ = {1,2,3,4,5,6,7,8}, A = {2,3,4,5}, B = {4,5,6,7}. The overlap (both pens) is {4,5}. Only in A: {2,3}. Only in B: {6,7}. Outside both: {1,8}.

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