The argument given in the image can be written as:

1. $p \vee q$ (premise 1)
2. $\neg p$ (premise 2)
3. $q$ (conclusion)

We need to determine if the argument is valid and answer the related questions. Let's go step-by-step.

Step 1: Determine if the argument is valid

The argument is structured as a disjunctive syllogism, which is a valid form of reasoning in logic. The rule of disjunctive syllogism is as follows:

• If $p \vee q$ is true and $\neg p$ is true, then $q$ must be true.

This matches the given premises:

• $p \vee q$ (either $p$ or $q$ is true)
• $\neg p$ (it is not true that $p$)

Therefore, $q$ must be true. Hence, the argument is valid.

Step 2: Number of binding rows

Binding rows refer to the truth table rows where the premises are true, and we check if the conclusion holds. Since this is a disjunctive syllogism, we don't need to construct the full truth table for such a simple argument. We can say that there are two rows:

• One row where $p$ is false, and $q$ is true (for $p \vee q$ to hold).
• The second row, where $p$ is true, but this is rejected by $\neg p$, making $q$ the only valid truth.

Step 3: Name a row that supports the argument

A row that supports the argument would be one where the premises hold true and lead to the conclusion. In this case, Row 2, where $p \vee q$ is true, and $\neg p$ is true, leading to $q$ being true, supports the argument.

Would you like more details or have any questions?

Here are 5 relative questions that expand upon the current topic:

1. What is the definition of a valid argument in formal logic?
2. How does a truth table help in determining the validity of an argument?
3. Can disjunctive syllogism be applied in everyday reasoning, and how?
4. What is the difference between a valid argument and a sound argument?
5. How would the argument change if the conclusion were $\neg q$ instead of $q$?

Tip: When analyzing logical arguments, it's useful to familiarize yourself with common argument forms like modus ponens, modus tollens, and disjunctive syllogism.