Set Theory

Complement

The complement of a set contains elements in the universal set that are not in the set.

Meaning

What Is Complement?

The complement of a set contains elements in the universal set that are not in the set.

The complement of a set contains elements in the universal set that are not in the set.

Examples

Examples of Complement

1If U={1,2,3,4} and A={1,2}, then Aᶜ={3,4}.
Understand

Formula and Key Points

Formula / rule
Aᶜ = U − A
  • Know the definition and standard notation for Complement.
  • Be able to recognise or compute complement in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in databases, data structures, automata, logic, query operations, permissions and discrete mathematics.

FAQ

Complement: Frequently Asked Questions

What is Complement?

The complement of a set contains elements in the universal set that are not in the set.

Why is Complement useful in computer science?

Used in databases, data structures, automata, logic, query operations, permissions and discrete mathematics.