Teaching BPSC 4.0 बिहार उच्च माध्यमिक शिक्षक भर्ती (PGT) Mock Test Mathematics Sets Set Theory and types of Sets
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 is/are correct?1
1 and 2 only
2
2 and 3 only
3
1 and 3 only
4
More than one of the above
5
None of the above