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If the maximum value of ||x-3| - |x-2|| ...

If the maximum value of `||x-3| - |x-2||` is a and minimum value of `|x-1| + |x-2|` is b, then find the value of (a+b).

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To solve the problem, we need to find the maximum value of \( ||x-3| - |x-2|| \) and the minimum value of \( |x-1| + |x-2| \). ### Step 1: Finding the maximum value of \( ||x-3| - |x-2|| \) The expression \( ||x-3| - |x-2|| \) can be analyzed using the properties of absolute values. 1. We can rewrite this expression as: \[ ...
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