1. The problem statement, all variables and given/known data Suppose someone says to you that the following statement is true: “If Jack is younger than his father, then Jack will not lose the contest.” Did Jack win the contest? Why or why not? Explain. 2. Relevant equations Truth table from textbook: A--------B--------A implies B True----True-------True True----False------False False---True-------True False---False------True 3. The attempt at a solution A = Jack is younger than his father. B = Jack will not lose the contest = Jack will win the contest (assuming you can't draw) A is true because one is ALWAYS younger than his/her father. B is true because A is true. Therefore A -> B is also true and Jack did win the contest. This question is probably really easy, but I was wondering if anyone could validate my answer? I'm really new to proofs and this kind of logical thought. Thanks!