Q. 33.8( 5 Votes )

Let A = {a, e, I,

Answer :

(i) Given:


A = {a, e, I, o, u}, B = {a, d, e, o, v} and C = {e, o, t, m}.


BC = {e, o} and A(BC) = {a, e, I, o, u}


B


C


RHS:


AB = {a, d, e, I, o, u, v} and AC = {a, e, I, o, u, t, m}



(A B) (A C) = {a, e, I, o, u}


LHS = RHS. [Verified].


(ii) Given:


A = {a, e, I, o, u}, B = {a, d, e, o, v} and C = {e, o, t, m}.


BC = {a, d, v, e, o, t, m} and A(BC) = {a, e, o}


B


C


RHS:


AB = {a, e, o} and AC = {e, o}



(A B) (A C) = {a, e, o}


LHS = RHS. [Verified]


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