Question 1: (10 marks] a) Use truth tables to decide whether the following sentences is a tautology, a contradiction, or a contingency. [4 mark] (p 9) ((p 9) (p 1-9)) b) Use the logical identities given in the book to prove the equivalences listed below. [3 mark] (p = q) = (p -> )^(-p -9) c) Write the converse, the inverse, and the contrapositive for the following statement and indicate the truth value: (1.5 marks] if 52 = 10, then 3 + 2 = 5 d) Let Q(x) be the statement "x+1 > 2X". If the domain consists of all the integers, what are the truth values for: (1.5 marks] 1. Q(0) 2. Q1-1) 3. Q(1) 4. 3xQ(x) 5. VxQ(x) 6. 3x-Q(x)