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If p= q + 2 then p gt q....

If `p= q + 2` then `p gt q`.

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To solve the problem, we need to prove that if \( p = q + 2 \), then \( p > q \). ### Step-by-Step Solution: 1. **Start with the given equation**: \[ p = q + 2 \] 2. **Rearrange the equation to compare \( p \) and \( q \)**: \[ p - q = 2 \] 3. **Analyze the result of the rearrangement**: Since \( p - q = 2 \), we can see that: \[ p - q > 0 \] because \( 2 \) is a positive number. 4. **Conclude from the analysis**: Since \( p - q > 0 \), it follows that: \[ p > q \] 5. **Final statement**: Therefore, we have proved that if \( p = q + 2 \), then \( p > q \).
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