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COMEDK2023Morning ShiftMathematicsSets and RelationsActual

If A= a, b, c , B= b, c, d and C= a, d, c then (A-B) (B C) is equal to

Options

  1. A(a, c),(a, d)
  2. B(c, a),(d, a)
  3. C(a, c),(a, d),(b, d)
  4. D(a, b),(c, d)

Correct answer

A. (a, c),(a, d)

Step-by-step solution

Given sets A = a, b, c , B = b, c, d , and C = a, d, c . First, determine A - B . The set A - B contains elements that are in A but not in B . A - B = a, b, c - b, c, d = a . Next, determine B C . The set B C contains elements common to both B and C . B C = b, c, d a, d, c = c, d . Finally, compute the Cartesian product (A - B) (B C) . (A - B) (B C) = a c, d = (a, c), (a, d) . Answer: (a, c),(a, d)

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