CBSE · Class 6-12

Class 11 · Mathematics (041)

Unit 1 · Class 11Mathematics (041)

Sets and Functions

Sets

Sets, subsets, power sets, universal set, Venn diagrams, operations on sets.

Lessons

4 concepts

1
What is a Set?
A set is a well-defined collection of distinct objects. Notation: roster form $A = \{1, 2, 3\}$ and set-builder form $A = \{x : x \in \mathbb{N},\, x < 4\}$ .
2
Types of Sets
Finite/infinite sets, equal sets, empty set $\varnothing$ , singleton, subset $A \subseteq B$ , proper subset $A \subsetneq B$ , power set $P(A)$ with $|P(A)| = 2^{|A|}$ .
3
Operations on Sets
Union $A \cup B$ , intersection $A \cap B$ , difference $A \setminus B$ , complement $A'$ . De Morgan's laws: $(A \cup B)' = A' \cap B'$ .
4
Venn Diagrams & Cardinality
Use Venn diagrams to visualise. $|A \cup B| = |A| + |B| - |A \cap B|$ ; extend to three sets via inclusion–exclusion.

Skills to practise

Skill · medium

Sets — Practice (coming soon)

Practice bank for this unit is in progress. You can still read the lessons above.