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If A and B are subsets of the universal set U, then show that A ⊂ A ∪ B

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Question

If A and B are subsets of the universal set U, then show that A ⊂ A ∪ B

Sum
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Solution

A and B are subsets 

To prove: A ⊂ A ∪ B

Proof: Let x ∈ A

⇒ x ∈ A or x ∈ B

⇒ x ∈ A ∪ B

⇒ A ⊂ A ∪ B

Hence Proved

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Chapter 1: Sets - Exercise [Page 13]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 1 Sets
Exercise | Q 6.(i) | Page 13

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