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📐 Mathematics  ·  Relations and Functions  ·  JEE

For all sets A, B, C: A − (B ∪ C) equals:

Answer: (A − B) ∩ (A − C).

  • A (A − B) ∪ (A − C)
  • B (A − B) ∩ (A − C)
  • C (A − B) ∪ C
  • D (A ∪ B) − C

Correct answer: B. (A − B) ∩ (A − C)

Explanation: A - (B union C) = A intersect (B union C)' = A intersect (B' intersect C') = (A intersect B') intersect (A intersect C') = (A-B) intersect (A-C).

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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