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📐 Mathematics  ·  Sets  ·  JEE

Written in roster form, the set {x : x² = 4, x ∈ Z} is:

Answer: {−2, 2}.

  • A {−2, 2}
  • B {2}
  • C {4}
  • D {−4, 4}

Correct answer: A. {−2, 2}

Explanation: The integer solutions of x² = 4 are −2 and 2.

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 →