Q: Match List I with List II List I A. A Δ B B. A − (B ∪ C) C. A − (B ∩ C) D.…
2023
Q: Match List I with List II
List I
A. A Δ B
B. A − (B ∪ C)
C. A − (B ∩ C)
D. A ∩ (B − C)
List II
I. (A − B) ∪ (A − C)
II. (A − B) ∩ (A − C)
III. (A − B) ∪ (B − A)
IV. (A ∩ B) − (A ∩ C)
Choose the correct answer from the options given below:
- A.
A-III B-II C-I D-IV
- B.
A-II B-III C-IV D-I
- C.
A-IV B-III C-I D-II
- D.
A-IV B-I C-III D-II
Attempted by 77 students.
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Correct answer: A
A Δ B represents symmetric difference, equal to (A − B) ∪ (B − A), matching III. A − (B ∪ C) simplifies to (A − B) ∩ (A − C), matching II. A − (B ∩ C) expands to (A − B) ∪ (A − C), matching I. A ∩ (B − C) is equivalent to (A ∩ B) − (A ∩ C), matching IV. Thus, the correct sequence is A-III, B-II, C-I, D-IV.