Question
For subsets A and B of a set X, define the set A\ast B as A\ast B=(A∩ B)∪((X-A)∩(X-B)). Then only one of the following statements is true, which one is it? (1) A\ast B⊂ A\ast(X-B) and A\ast B≠ A\ast(X-B) (2) X-(A\ast B)=A\ast(X-B) (3) A\ast(X-B)⊂ A\ast B and A\ast(X-B)≠ A\ast B (4) A\ast B=A\ast(X-B)