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Using Properties of Sets Show That A ∩ (A ∪ B) = A. - Mathematics

Sum

Using properties of sets show that A ∩ (A ∪ B) = A.

 

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Solution

To show: A ∩ (A ∪ B) = A

A ∩ (A ∪ B) = (A ∩ A) ∪ (A ∩ B)

= A ∪ (A ∩ B)

= A {from (1)}

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.7 | Q 9.2 | Page 27
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