Final answer:
The inappropriate drug form for an alcoholic client is an elixir due to its alcohol content. For home administration to treat a systemic infection, oral medication is the most appropriate and convenient route.
Step-by-step explanation:
The medication form that would be inappropriate for an alcoholic client is A) Elixir. Elixirs typically contain a significant percentage of alcohol as a solvent. Alcoholics must avoid all forms of alcohol to prevent relapse, thus taking a medication in the form of an elixir could be harmful to their recovery. Answer B) Lozenge, C) Solution, D) Suspension, and E) Syrup are generally considered safe for recovering alcoholics, as they usually do not contain alcohol or have a negligible amount that is unlikely to be harmful.
Regarding the appropriate and convenient route for home administration of an antimicrobial to treat a systemic infection, A) oral administration would be the most appropriate. Oral medications are easy to administer and are designed to be absorbed into the bloodstream to treat systemic issues. B) Intravenous administration generally requires medical professionals and is less convenient for home use. C) Topical application is not suited for systemic infections. D) Parenteral could be appropriate but still requires equipment and some medical know-how, making it less convenient for most patients at home compared to oral medications.