LetU={1,2,3,4,5,6,7,8,9},A={2,4,6,8}andB={2,3,5,7}˙ Verify that: (A∪B)′=A′∩B′ (ii) (A∩B)′=Aprime∪Bprime

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Let{U}={{1},{2},{3},{4},{5},{6},{7},{8},{9}},{A}={{2},{4},{6},

Question

Let $U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} a n d B = {2, 3, 5, 7} ˙$ Verify that: $(A \cup B)^{^{'}} = A^{'} \cap B^{'}$ (ii) $(A \cap B)^{^{'}} = A^{p r i m e} \cup B^{p} r i m e$

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Let

U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} a n d B = {2, 3, 5, 7} ˙

Verify that:

(A \cup B)^{^{'}} = A^{'} \cap B^{'}

(ii)

(A \cap B)^{^{'}} = A^{p r i m e} \cup B^{p} r i m e

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Question Text

Let

U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} a n d B = {2, 3, 5, 7} ˙

Verify that:

(A \cup B)^{^{'}} = A^{'} \cap B^{'}

(ii)

(A \cap B)^{^{'}} = A^{p r i m e} \cup B^{p} r i m e