Question: 1. Exercise 14 in 2.1) Write the truth table for the statement form PA (Ar). 2. Using the truth table, prove or disprove the following:

1. Exercise 14 in 2.1) Write the truth table for the statement form PA (Ar). 2. Using the truth table, prove or disprove the following: (pVg) (PA) = ((p 9)(p)) 3. (Exercise 22 in 2.1) Determine whether the statements pA (Vr) and (pAG) V (par) are logically equivalent. (You can use the truth table or logical equivalences, your choice.) 4. (Exercise 27 in 2.1) Use De Morgan's laws to write the negation for the statement: "The connector is loose or the machine is unplugged." 5. (Exercise 54 in 2.1) Use logical equivalences to show that PA (PV))) (PA) = p

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