Let E, F and G be finite sets. Let X = (E ∩ F) – (F ∩ G) and Y = (E – (E ∩ G)) – (E – F). Which one of the following is true?
(A)
X ⊂ Y
(B)
X ⊃ Y
(C)
X = Y
(D)
X – Y ≠ φ and Y – X ≠ φ
Answer: (C)
Explanation:
If we draw the venn diagrams of both X and Y, we find that both cover exactly same region (shown in figure below). So option (C) is correct. Source: http://www.cse.iitd.ac.in/~mittal/gate/gate_math_2006.html
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