1. All diabetes victims are either insulin takers or glucose eliminators. Accordingly, some diabetes victims are glucose eliminators, since some diabetes victims are insulin takers.

2. All FHA loans are living-standard enhancers for the following reasons. All reverse mortgages that are FHA loans are either living-standard enhancers or home-equity depleters, and all reverse mortgages are home-equity depleters.

Use the counterexample method to prove each of the following arguments invalid.