4. Construct a truth table for the following compound proposition: Using the truth table Determine whether a) ("P ) v (p -q) is equivalent to p V b) pv (p ^ q).is equivalent to p 5. -p 6. Let p denote, "Gym is open" and q denote, "I exercise". State the contrapositive, converse, and inverse of the following conditional statements: a) If Gym is open, then I will exercise (p- q) Section 1.3 7. Determine whether the following propositions satisfy the requirement for being a tautology