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Absolute Value: (Proof track.) Give a complete justification. Find the maximum of math over real math.

Cases and graphs.

Try the problem

**(Proof track.)** Give a complete justification. Find the maximum of ∣x−3∣−∣x+1∣|x-3|-|x+1| over real xx.

Hint and answer

Concept to use

Piecewise contests.

Hint

Break the real line at the expression's zeroes and justify each interval.

Answer

4

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