Zaymiey

📐 Mathematics  ·  Sets  ·  JEE

If A = {1, 2, 3} and B = {2, 3, 4}, then A ∩ B is:

Answer: {2, 3}.

  • A {2, 3}
  • B {1, 4}
  • C {1, 2, 3, 4}
  • D { }

Correct answer: A. {2, 3}

Explanation: The intersection keeps the common elements 2 and 3.

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 →