Zaymiey

📐 Mathematics  ·  Sets  ·  JEE

The empty set is a subset of:

Answer: every set.

  • A every set
  • B no set
  • C only itself
  • D only the universal set

Correct answer: A. every set

Explanation: By convention, the empty set is a subset of every set.

Set Operations: Union, Intersection, ComplementUABA∩BOutside both circles = (A∪B)' = A'∩B' (De Morgan)A∪B = everything in either circle; A∩B = only the overlap

A Venn diagram makes set identities visual: A∪B is everything inside either circle, A∩B is only the overlap, and the region outside both circles represents the complement of their union - directly illustrating De Morgan's law (A∪B)′ = A′∩B′.

Concept context

Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range

Read the full Sets notes →