Zaymiey

📐 Mathematics  ·  Sets  ·  JEE

Which of the following is a well-defined set?

Answer: Set of prime numbers less than 20.

  • A Set of students considered tall by some people
  • B Set of players considered good by some judges
  • C Set of flowers considered beautiful by viewers
  • D Set of prime numbers less than 20

Correct answer: D. Set of prime numbers less than 20

Explanation: A set must be well-defined (each element clearly belongs or not). Prime numbers less than 20 is unambiguous.

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 →