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