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Let P (n) be the statement (n - 4) is a ...

Let P (n) be the statement `(n - 4)` is a whole number. Then P (3) true

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To determine whether the statement \( P(3) \) is true, we need to evaluate the expression \( n - 4 \) for \( n = 3 \). ### Step-by-Step Solution: 1. **Define the statement**: The statement \( P(n) \) is defined as \( n - 4 \) is a whole number. 2. **Substitute \( n \) with 3**: We need to check \( P(3) \). So we substitute \( n \) with 3 in the expression: \[ P(3) = 3 - 4 \] 3. **Calculate the expression**: Now, we perform the calculation: \[ 3 - 4 = -1 \] 4. **Determine if the result is a whole number**: We need to check if \(-1\) is a whole number. The set of whole numbers is defined as \( \{0, 1, 2, 3, \ldots\} \), which includes only non-negative integers. 5. **Conclusion**: Since \(-1\) is not a whole number, we conclude that \( P(3) \) is false. ### Final Result: Thus, \( P(3) \) is **false**. ---
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