E. a. Are ,0 -> o and "p v o logically equivalent? To nd the answer, rst construct the truth table. b. Are "1;: > o} and p n "q logically equivalent? To nd the answer, rst construct the truth table. 1 Suppose that P: "It is snowing." and {1 = "Sam can go skiing.\" a. Rewrite the statement below in symbolic form in two logically equivalent ways using variable p and q, along with logical operators [such as ~,n_v. > 1. "If it is snowing. then 5am can go skiing.\" b. In symbolic form and in English. write converse, inverse. and contrapositive of the statement in part a}. c. Write negation of the statement in part a}, symbolically and in English. d. Rewrite the statement in part a] in symbolic form using necessary or sufcient condition. 3. Use a truth table to determine the validity of the following argiunent. Indicate which columns represent the premises, which column represems the conclusion. and which rowfs) are critical. Write a sentence explaining how the truth tahle supports your answer. Be specic. F r is V ~ ri q } p h r .'+ p } T 9. Rewrite each of the following statements in the form ""n' x, ." [al.dl dinosaurs are extinct. in" r._, it is [bl Everyr real number is positive, negative, or zero. '9' x_, x is {c} No irrational numbers are integers. in" 3L; x is [d1 No logicians are lazy. V x_, sis 1o.Cc-nsider each statement given. For each given statement. complete parts [11 - [4]. a] There exists a rectangle s such that s is not a quadrilateral. bl There exists a positive real number x such that for every positive real numbery, y e x c} For every real number it there exists a real number y such that y c x. 1] Write the statement as formally as you are able. Write predicates form of the statement. 2] Write the negation formally. 3] Write the negation informally. \f\f