Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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For Any Two Sets a and B, Prove that a ∩ B ⊂ a - Mathematics

For any two sets A and B, prove that 

A ∩ ⊂ A             

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Solution

 For all ∈ A ∩ B
⇒ x ∈ A and x ∈ B              (Definition of intersection of sets)
⇒ x ∈ A
⇒ A ∩ ⊂ A

Concept: Universal Set
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.6 | Q 4.2 | Page 27
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