could have performed) solutions written by anyone who is not you.On this assignment, you have to make a choice between the problems fromset A and set B. If you turn in answers to problems from both sets, you will onlybe graded on your answers to set A. Your score on set A is capped at 90%. Onthe questions from set B, you can earn up to 105%.Indicate which set youare solving by writing ”Set A” or ”Set B” on the first line of yourfirst page.Graders will be instructed to grade Set B solutions more strictly,with higher expectations for formal and logical correctness.Graders may only grade a subset of problems from each set.Set A:1. Is the following a valid argument or fallacy?If it is Sunday, then the storeis closed. The store is closed. Therefore, it is Sunday. You must explainyour answer.2. Name the argument form of the following argument:Dogs eat meat. Fluffydoes not eat meat. Therefore, Fluffy is not a dog.3. Prove directly that the product of an even and an odd number is even.4. Prove by contraposition for an arbitrary integernthat ifn2is even, thennis even.5. Prove that there is a positive integernthat satisfies 2n+ 1≥33.Donot overthink this problem. Do not write more than logically necessary toprove existence.c 2018 R. Boerner, ASU School of Mathematical and Statistical Sciences

MAT 243 Week 2/7 Written HomeworkSet B: