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📐 Mathematics  ·  Sets  ·  JEE

The set of even numbers strictly between 1 and 9 is:

Answer: {2, 4, 6, 8}.

  • A {2, 4, 6, 8}
  • B {1, 3, 5, 7}
  • C {2, 4, 6, 8, 10}
  • D {4, 6, 8}

Correct answer: A. {2, 4, 6, 8}

Explanation: The even numbers between 1 and 9 are 2, 4, 6 and 8.

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 →