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Q2. Let X, Y, and Z be atoms and P, P2, P3, and C be compound propositions that de- pend on X, Y, and

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Q2. Let X, Y, and Z be atoms and P, P2, P3, and C be compound propositions that de- pend on X, Y, and Z, as described in the following truth table: X Y Z P P| P3 C TTTTTFT TT FT FTF TFT FFTT TF FFTTF FT TTFF FI FT FTTFT FFTTTTF F FF FFTT (a) (P AP^ Pa) C is a valid argument. (b) The set {P, P2, P3} is consistent. (C) (XA Z) V (-XAZ) is a DNF for C. (d) (P P3) V-P is a tautology. T F T F T F T F

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