The image shows a partial truth table for the logical statement $(p \lor q) \rightarrow (\neg r \rightarrow \neg q)$. I'll complete the table and ensure that it is correct.

Here's the step-by-step breakdown of how to approach this truth table:

Logical Statements:

• $p \lor q$: "p OR q" (true if either $p$ or $q$ is true).
• $\neg r \rightarrow \neg q$: "if not r, then not q" (a conditional that is false only if $\neg r$ is true and $\neg q$ is false).
• $(p \lor q) \rightarrow (\neg r \rightarrow \neg q)$: This is a conditional that we're evaluating in the last column.

The table should cover all combinations of truth values for $p$, $q$, and $r$, then we'll evaluate the intermediate columns.

I'll start by filling in the missing parts. Would you like the table completed, or would you prefer a step-by-step breakdown on how to fill each column?