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

Cases and graphs.

Try the problem

**(Proof track.)** Give a complete justification. Find the minimum of ∣2x−1∣+∣2x−9∣|2x-1|+|2x-9|.

Hint and answer

Concept to use

Piecewise contests.

Hint

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

Answer

8

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