2. for each of these arguments, explain which rules of inference are

2. For each of these arguments, explain which rules of inference are used for each step. Arguments: “Each of five roommates, Melissa, Aaron, Ralph, Vaneesha, 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.”