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Let's analyze the symbolic statement \( q \land (p \rightarrow r) \) and translate it into English.

- \( p \): The temperature is above 70°.
- \( q \): We finished eating.
- \( r \): We go to the pool.

The expression \( p \rightarrow r \) translates to "If the temperature is above 70°, then we go to the pool."

Now, considering the entire expression \( q \land (p \rightarrow r) \):
- \( q \land (p \rightarrow r) \) translates to "We finished eating and (if the temperature is above 70°, then we go to the pool)."

Among the provided choices, we need to find the one that correctly represents this logical expression:

- **Option A**: "If we have finished eating and the temperature is above 70°, then we go to the pool." 
  - This is incorrect because it changes the structure to \( (q \land p) \rightarrow r \).

- **Option B**: "We have finished eating, and if the temperature is above 70° then we go to the pool."
  - This is correct as it accurately reflects \( q \land (p \rightarrow r) \).

- **Option C**: "If we have finished eating, and the temperature is above 70°, then we will go to the pool."
  - This is incorrect because it also changes the structure to \( (q \land p) \rightarrow r \).

- **Option D**: "If we have finished eating, then the temperature is above 70° and we go to the pool."
  - This is incorrect because it implies \( q \rightarrow (p \land r) \).

The correct answer is **Option B**.

Would you like further details or have any questions? Here are some related questions to deepen your understanding:

1. What is the difference between conjunction (and) and implication (if...then) in logical statements?
2. How would you express \( (p \rightarrow r) \land q \) in English?
3. Can you provide an example where the order of operations affects the interpretation of a logical statement?
4. What is the symbolic representation of "If we go to the pool, then the temperature is above 70° and we finished eating"?
5. How do parentheses affect the grouping in logical expressions?

**Tip:** When translating logical statements into English, ensure you maintain the correct order of operations as indicated by parentheses and logical connectives to preserve the intended meaning.

Write the symbolic statement q ∧ (p → r) in words. Choose the correct sentence translation.

This problem involves translating a logical expression into English, focusing on conjunctions and implications. The correct solution is based on understanding the structure of logical statements.

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