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NEST2015MathematicsSets and Relations

Let X be a nonempty set and P(X) be the set of all subsets of X . Define a function f: X P(X) 0,1 such that for x X and A X , f(x, A)= cases 1 & if x A 0 & if x A cases Then, for x X and A, B X, f(x, A B) is not equal to

Options

  1. Af(x, A) f(x, B)
  2. Bf(x, A B)-|f(x, A)-f(x, B)|
  3. Cf (x, A^c )+f (x, B^c )-f (x, A^c B^c )
  4. Df(x, A)+f(x, B)-f(x, A B)

Correct answer

C. f (x, A^c )+f (x, B^c )-f (x, A^c B^c )

Step-by-step solution

No solution available.

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