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(c) (Graded for fair effort completeness) Determine which of the following are true logical equiva- lences, and informally justify your reasoning. ( 3xP(x) V 3xQ(x)

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(c) (Graded for fair effort completeness) Determine which of the following are true logical equiva- lences, and informally justify your reasoning. ( 3xP(x) V 3xQ(x) ) = 3x ( P(x) VQ(x)) ( (x)0 1 (x)d ) xA= ( (x)OXA 1 (x)dxA ) ((x)0 V (x)d ) XA = ( (x)OXA V (x)dxA)

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