Q. 9 D5.0( 1 Vote )

Using Venn diagram, verify whether the following are true:

A \ (B C) = (A \ B) (A \ C)

Answer :

A \ (B C) = (A \ B) (A \ C)


LHS:


Consider B C,



Then, A \ (B C)


= LHS


RHS:


Consider A \ B,



Then, consider A \ C,



Then, (A \ B) (A \ C)


= RHS


LHS = RHS


Hence proved.


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