35 For subsets A and B of a set X, define the set A* B as A*B = A∩B∪X-A∩X-B - Maths - Sets

Question

35 For subsets A and B of a set X, define the set A* B as
A*B = A ∩ B ∪ X - A ∩ X - B
Then only one of the following statements is true Which one is
it?
A A*(X-B) ⊂ A*B and A *(X-B) ≠ A*B
B A*B = A*(X-B)
C A*B ⊂ (X-B) and A*B ≠ A*(X-B)
D X - (A*B) = A*(X-B)

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35. For subsets A and B of a set X, define the set A* B as A*B = A ∩ B ∪ X - A ∩ X - B . Then only one of the following statements is true. Which one is it? A. A*(X-B) ⊂ A*B and A *(X-B) ≠ A*B B. A*B = A*(X-B) C. A*B ⊂ (X-B) and A*B ≠ A*(X-B) D. X - (A*B) = A*(X-B)

35. For subsets A and B of a set X, define the set A* B as
AB = $(A \cap B) \cup ((X - A) \cap (X - B)) .$
Then only one of the following statements is true. Which one is it?
A. A(X-B) $\subset$ AB and A (X-B) $\neq$ AB
B. AB = A(X-B)
C. AB $\subset$ (X-B) and AB $\neq$ A(X-B)
D. X - (AB) = A(X-B)