Zaymiey

📐 Mathematics  ·  Sets  ·  JEE

A = {1,2,3,4,5} and B = {2,4,6}. Find A − B.

Answer: {1,3,5}.

  • A {1,3,5}
  • B {2,4}
  • C {1,2,3,4,5,6}
  • D {6}

Correct answer: A. {1,3,5}

Explanation: A - B = elements in A that are NOT in B = {1, 3, 5}.

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 →