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If p -= Money is evil, q -= Wise men are...

If p `-=` Money is evil, q `-=` Wise men are poor, r `-=` beggars are failures. Then translate the following statement into symbols :
Money is evil unless wise men are poor.

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To translate the statement "Money is evil unless wise men are poor" into symbols using the given definitions, we can follow these steps: ### Step 1: Understand the meaning of "unless" The phrase "A unless B" can be translated into logical terms as "If not B, then A." This means that A is true if B is not true. ### Step 2: Identify the components From the question, we have: - \( p \): Money is evil - \( q \): Wise men are poor ### Step 3: Apply the "unless" translation Using the understanding from Step 1, we can rewrite "Money is evil unless wise men are poor" as: - "Money is evil if wise men are not poor." ### Step 4: Translate into symbols The statement "Money is evil if wise men are not poor" can be expressed in symbols as: - \( \neg q \rightarrow p \) Where \( \neg q \) represents "wise men are not poor" and \( \rightarrow \) represents "implies." ### Final Translation Thus, the final translation of the statement "Money is evil unless wise men are poor" into symbols is: \[ \neg q \rightarrow p \]
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