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)

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?

Mathematics 2019 NDA Mathematics 2019 NDA 2019

Options