Which argument is an example of an inconsequent argument?

An inconsequent argument is one that does not logically connect to its conclusion or lacks relevance to the issue at hand. In this case, the expectation that the Pattersons will buy a new car next year does not provide any substantial evidence or reasoned argument that contributes to a larger discussion. It simply states a possible future event without any supporting rationale. This makes it inconsequent, as it does not advance or affect the main topic of a debate or discussion.

The other options involve more defined claims or criticisms that can be discussed logically within a framework of political ideology, personal character, or community issues. Therefore, they involve positions that are deemed relevant to particular arguments or discussions, whereas the expectation of a car purchase does not connect with an overarching argumentative context.