1. What are the converse, inverse and contrapositive of the statement “If you try hard, then you will win” Converse Inverse Contrapositive b. Determine whether this proposition is a tautology, contradiction or contingency using the truth table: (p  q)  (q →  rp)  (p  r) Question 4 a. Write the set S= {1, 3, 5, 7} in set builder notation. b. Write the set T={ x | x ∈ R, x2 = 9 or x2 = 64} in a list form. c. Let A = {x, y, z }and B = {2, 5, 6} List the elements of the following sets. i. Power(B ) = ii. B  A = d. What are the truth sets of the predicates P(x), Q(x), and R(x), where the domain is the set of integers and 1. P(x) is “|x| = 4,” 2. Q(x) is “x2 = 16,” 3. R(x) is “|x| = x” Question 5: Given the below premises Prove: B. 1.  (A v B) → C 2. A 3. C