Question

Let U = {3,6,9,12,15,18,21,24}be the universal set and let A ={6,12,18,24} be the its subset. verify that: (i)AUA' = U.
(ii) (A')' = A.​

Answer 1

Step-by-step explanation:

Given that U={3,6,9,12,15,18,21,24} and A={6,12,18,24} be its subset.

then (i)A'= {3,9,15,21}

so, AUA'={6,12,18,24} U {3,9,12,15}

={3,6,9,12,15,18,21,24} = U

Hence AUA'= U.

(ii)A'={3,9,15,21}

so,(A')'={3,6,9,12,15,18,21,24} - {3,9,15,21}

={6,12,18,24} =A

Hence (A')'= A.

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