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Manipal MET2022MathematicsSets and Relations

If A= 1,2 , B= 1,2,3,4 , C= 5,6 and D= 5,6,7,8 , then state which of the following is true?

Options

  1. A(A C) (B D)
  2. BA B C D
  3. C(A B) (A D)
  4. DA C B D

Correct answer

A. (A C) (B D)

Step-by-step solution

Here, aligned A C= & 1,2 5,6 = & (1,5),(1,6),(2,5),(2,6) and B D= & 1,2,3,4 5,6,7,8 = & (1,5),(1,6),(1,7),(1,8),(2,5),(2,6), & (2,7),(2,8),(3,5),(3,6),(3,7),(3,8), & (4,5),(4,6),(4,7),(4,8) (A C) & (B D) aligned

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