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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 :
Wise men are poor only if money is evil.

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To translate the statement "Wise men are poor only if money is evil" into symbols, we will follow these steps: ### Step 1: Identify the statements and their symbols - Let \( p \) represent "Money is evil". - Let \( q \) represent "Wise men are poor". - Let \( r \) represent "Beggars are failures". ### Step 2: Understand the structure of the statement The phrase "only if" indicates a conditional relationship. The statement "A only if B" can be translated to "If A, then B". In this case: - "Wise men are poor only if money is evil" means that if wise men are poor, then money is evil. ### Step 3: Translate the statement into symbols From the understanding in Step 2, we can express the statement as: - "Wise men are poor only if money is evil" translates to \( q \rightarrow p \). ### Final Answer Thus, the symbolic representation of the statement "Wise men are poor only if money is evil" is: \[ q \rightarrow p \] ---
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