Mathematics

I.S∩T∩W=S II. S ∪ T ∪ W = W III. T ∩ W = S…

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: Option A
Explanation

If S (subset) T (subset) W,

S (cap) T (cap) W = S is true since S (cap) T = S and S (cap) W = S.

S (cup) T (cup) W = W is also true. S (cup) T = T and T (cup) W = W.

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