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I.S∩T∩W=S
II. S ∪ T ∪ W = W
III. T...

I.S∩T∩W=S
II. S ∪ T ∪ W = W
III. T ∩ W = S
If S⊂T⊂W, which of the above statements are true?

A.

I and II

B.

I and III

C.

II and III

D.

I, II and III

Correct answer is A

If S T W,

S T W = S is true since S T = S and S W = S.

S T W = W is also true. S T = T and T W = W.

However, to say that T W = S is not very true mathematically. Instead, it is safe to say S (T W).