1.

() using properties of sets, show that \( A \cup(A \cap B)=A \)

Answer»

To show: A∪(A∩B)=A
We know that
A⊂A
⇒A∩B⊂A
∴A∪(A∩B)⊂A ......(1)
Also, A⊂A∪(A∩B) ............(2)
∴ From (1) and (2),
 A∪(A∩B)=A



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