Solved: For each of these arguments, explain which rules

QUESTION:

For each of these arguments, explain which rules of inference are used for each step.a) “Linda, a student in this class, owns a red convertible. Everyone who owns a red convertible has gotten at least one speeding ticket. Therefore, someone in this class has gotten a speeding ticket.”________________b) “Each of five roommates, Melissa, Aaron, Ralph, Veneesha, and Keeshawn, has taken a course in discrete mathematics. Every student who has taken a course in discrete mathematics can take a course in algorithms. Therefore, all five roommates can take a course in algorithms next year.”________________c) “All movies produced by John Sayles are wonderful. John Sayles produced a movie about coal miners. Therefore, there is a wonderful movie about coal miners,”________________d) “There is someone in this class who has been lo France. Everyone who goes lo France visits the Louvre. Therefore, someone in this class has visited the Louvre.”