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

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Question

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

Sum
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Solution

A and B are subsets

To prove: (A ∩ B) ⊂ A

Proof: Let x ∈ A ∩ B

⇒ x ∈ A and x ∈ B

⇒ x ∈ A

⇒ A ∩ B ⊂ A

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.(iii) | Page 13

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