give answer in 2 step with explanation at the end of each step and final answer at the end:QUESTION 6
The integer n?- nis even for all integers n.
O True
O False

Question

give answer in 2 step with explanation at the end of each step and final answer at the end:QUESTION 6
The integer n?- nis even for all integers n.
O True
O False

VIPSolutions · Accepted Answer

**Step 1:**  
Let's factor the expression $ n^2 - n $:  
$ n^2 - n = n(n - 1) $.

Explanation:  
This is the product of two consecutive integers, $ n $ and $ n-1 $.

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**Step 2:**  
Consider the parity (evenness or oddness) of consecutive integers. For any integer $ n $, one of $ n $ or $ n-1 $ is always even.

Explanation:  
The product of an even number and any other integer is always even. Therefore, $ n(n-1) $ is always even for any integer $ n $.

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**Final Answer:**  
**True.** The integer $ n^2 - n $ is even for all integers $ n $.

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give answer in 2 step with explanation at the end of each step and final answer at the end:QUESTION 6 The integer n?- nis even for all integers n. O True O False

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