Venn Diagrams • Topic 1 of 4

Representing Sets

Pick the diagram that matches real relationships. Use containment when one group is wholly part of another; overlap when groups share some members; separate circles when groups can't share members.

Three possible relationships

Before anything else, decide which of these three pictures fits the groups:

A B Containment A B Overlap A B Disjoint (separate)
Containment (all A are B), overlap (some shared), or disjoint (nothing shared).
The deciding question: "Can one thing belong to both groups?" If never → separate circles. If always one inside the other → containment. If sometimes → overlap. Three nested real-world categories (e.g., India ⊂ Asia ⊂ World) are concentric circles.

✅ Solved examples

1. Relation between Dogs, Animals, Cats?
Dogs and Cats are separate circles, both inside Animals.
2. Relation between Doctors, Women, Mothers?
Mothers inside Women; Doctors overlap both (some doctors are women/mothers).
3. Relation between Pencil, Pen, Stationery?
Pencil and Pen are separate, both inside Stationery.
4. Relation between Teachers, Men, Players?
Three overlapping circles — a person can be any combination.

✏️ Practice — try these, take hints as needed

1. Relation: Rose, Flower, Lotus?
Rose & Lotus separate, inside Flower.
—
—
Two separate inside one
2. Relation: Tigers, Carnivores, Animals?
Nested containment.
—
—
Tigers ⊂ Carnivores ⊂ Animals
3. Relation: Boys, Students, Athletes?
All can overlap.
—
—
Three overlapping circles
4. Relation: India, Asia, World?
Nested.
—
—
India ⊂ Asia ⊂ World
5. Relation: Men, Women, Doctors?
Men & Women separate; Doctors overlap both.
—
—
Doctors overlaps two disjoint

📝 Topic test — 8 questions

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