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Question
If X and Y are subsets of the universal set U, then show that X ∩ Y ⊂ X
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Solution
X ∩ Y = {x | x ∈ X and x ∈ Y}
Thus x ∈ X ∩ Y
⇒ x ∈ X
Hence X ∩ Y ⊂ X
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