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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 and beggars are failures if wise men are poor

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To translate the statement "Money is evil and beggars are failures if wise men are poor" into symbols, we can follow these steps: ### Step 1: Identify the components We have the following statements: - \( p \): Money is evil - \( q \): Wise men are poor - \( r \): Beggars are failures ### Step 2: Break down the statement The statement can be broken down into two parts: 1. "Money is evil and beggars are failures" 2. "if wise men are poor" ### Step 3: Translate the components into symbols 1. The phrase "Money is evil and beggars are failures" translates to \( p \land r \) (where \( \land \) denotes 'and'). 2. The phrase "if wise men are poor" translates to \( q \) (where this indicates the condition). ### Step 4: Combine the components The entire statement can be interpreted as: - "If wise men are poor, then money is evil and beggars are failures." This can be expressed in symbolic form as: \[ q \implies (p \land r) \] (where \( \implies \) denotes 'implies'). ### Final Translation Thus, the complete translation of the statement "Money is evil and beggars are failures if wise men are poor" into symbols is: \[ q \implies (p \land r) \] ---
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