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प्रश्न
Determine whether the following statement is true or false. Justify your answer.
For all sets A, B, and C, if A ⊂ B, then A ∩ C ⊂ B ∩ C
पर्याय
True
False
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उत्तर
This statement is True.
Explanation:
Let x ∈ A ∩ C
⇒ x ∈ A and x ∈ C
⇒ x ∈ B and x ∈ C
⇒ x ∈ (B ∩ C)
⇒ (A ∩ C) ⊂ (B ∩ C)
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