Write T before each true statement and write F before each false statement. Then give the truth value of the conditional expressed. If oxygen is a gas, then gold is a compound.

Answer

To solve the problem, we need to analyze the statements provided and determine their truth values.

1. **Identify the statements:**
- Let P: "Oxygen is a gas."
- Let Q: "Gold is a compound."

2. **Determine the truth values:**
- We know that oxygen is indeed a gas. Therefore, the statement P is **True (T)**.
- Gold, however, is not a compound; it is an element. Therefore, the statement Q is **False (F)**.

3. **Write the truth values:**
- For the statement P: T (True)
- For the statement Q: F (False)

4. **Construct the conditional statement:**
- The conditional statement is "If P, then Q" or "If oxygen is a gas, then gold is a compound."

5. **Determine the truth value of the conditional:**
- A conditional statement "If P then Q" (P → Q) is only false when P is true and Q is false.
- In this case, since P is true (T) and Q is false (F), the conditional statement is **False (F)**.

**Final Answer:**
- T for "Oxygen is a gas."
- F for "Gold is a compound."
- The truth value of the conditional "If oxygen is a gas, then gold is a compound" is F (False).

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