© 2017 R. Boerner, ASU School of Mathematical and Statistical Sciences MAT 243 Online Written Homework Assignments for Week 1/151.Show that(? → ?) → (? → ?)is logically equivalent to ? → ?using logical equivalence rules. Name each rule. You will get no credit for any other type of solution, such as a solution by truth table. 2.Suppose two integers x and y are given. Formulate the contrapositiveof the following statement, which is given in both verbal and symbolic form: If x is positive and y is non-negative, then xy is non-negative. ? > 0 ∧ ? ≥ 0 → ?? ≥ 0. You must also give your solution in both forms. 3.Rewrite in standard “if.. then” form: a.“I will go on a vacation to Australia with you only if we fly business class.”b.“It is necessary to care for your pets well for them to be healthy.”c.“Unless you make me a better offer, I will keep my current job.”

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