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Question

Show that:
(i) A(AB)=A
(ii) To show A(AB)=A

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Solution

(i) AA (a is a sbuset of if )-property of sets & ABA (naturel)
A(AB)A(1)
& AA(AB)(2)
From (1) & (2) A(AB)=A
(ii) A(AB)=(AA)(AB)-property of sets.
=A(AB)
=A {from (i)above}
proved.

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