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

Mathematics
JAMB 2009

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
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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).

There is an explanation video available below.


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Explanation Video

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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