) Let b = It is hot and c = It is sunny. Write each of the following statements using logic symbology: a. It is not hot but it is sunny. b. It is neither hot nor sunny. 2. (5 pts) Which of the following is a negation for Jim is inside and Jan is at the pool? (a) Jim is inside or Jan is not at the pool. (b) Jim is inside or Jan is at the pool. (c) Jim is not inside or Jan is at the pool. (d) Jim is not inside and Jan is not at the pool. (e) Jim is not inside or Jan is not at the pool. 3. (5 pts) Which of the following is a negation for Jim has grown or Joan has shrunk. (a) Jim has grown or Joan has shrunk. (b) Jim has grown or Joan has not shrunk. (c) Jim has not grown and Joan has not shrunk. (d) Jim has not grown or Joan has not shrunk. (e) Jim has grown and Joan has shrunk. (f) Jim has grown and Joan has not shrunk. 4. (5 pts) Write the following two statements in symbolic form, using p to represent Jane bought it at Joes Books and q to represent Jane didnt pay full price : If Jane bought it at Joes Books, then Jane didnt pay full price. Jane bought it at Joes Books or Jane paid full price. 5. (5 pts) Use a truth table to determine if the following two statements are logically equivalent: If Jane bought it at Joes Books, then Jane didnt pay full price. Jane bought it at Joes Books or Jane paid full price. (T or F) The two statements are logically equivalent. 6. (5 pts) Write (in English) the converse of If Ann is Jans mother, then Jose is Jans cousin. 7. (5 pts) Write (in English) the inverse of If Ann is Jans mother, then Jose is Jans cousin. 8. (5 pts) Write (in English) the contrapositive of If Ann is Jans mother, then Jose is Jans cousin.