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COMEDK20269 May 2026Evening ShiftMathematicsSets and RelationsActual

Given the sets A = 1,2,3 ; B = 2,3,5 and C = 4,5,6 identify Which of the following statements is incorrect .

Options

  1. An[(A B) (B C)] = 1
  2. B(A B) C =
  3. C(A B) C = A (B C)
  4. DB - C = 2,3

Correct answer

C. (A B) C = A (B C)

Step-by-step solution

Given sets are A = 1, 2, 3 , B = 2, 3, 5 , and C = 4, 5, 6 . Checking the first option: A B = 1, 2, 3, 5 B C = 5 (A B) (B C) = 5 n[(A B) (B C)] = 1 . This is correct. Checking the second option: A B = 2, 3 (A B) C = 2, 3 4, 5, 6 = . This is correct. Checking the third option: (A B) C = 2, 3 4, 5, 6 = 2, 3, 4, 5, 6 B C = 2, 3, 4, 5, 6 A (B C) = 1, 2, 3 2, 3, 4, 5, 6 = 2, 3 Since 2, 3, 4, 5, 6 2, 3 , this statement is incorrect. Checking the fourth option: B - C = 2, 3, 5 - 4, 5, 6 = 2, 3 . This is correct. Answer: (

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