UPSC NDA I 2019 Mathematics Solved Paper
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Question : 36 of 120
Marks:
+1,
-0
Let X be a non-empty set and let A, B, C be subsets of X. consider the following statements:
1. A ⊂C ⇒( A∩ B)⊂(C ∩B) ( A ∪B)⊂(C ∪ B)
2. ( A∩B)⊂(C∩ B) for all sets B ⇒ A ⊂ C
3. ( A ∪B)⊂(C ∪B) for all sets B ⇒ A ⊂ C
Which of the above statements are correct?
1. A ⊂C ⇒( A∩ B)⊂(C ∩B) ( A ∪B)⊂(C ∪ B)
2. ( A∩B)⊂(C∩ B) for all sets B ⇒ A ⊂ C
3. ( A ∪B)⊂(C ∪B) for all sets B ⇒ A ⊂ C
Which of the above statements are correct?
[NDA I 2019]
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