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min of |x + 1| + |x + 5|+ |x + 14| + |x + 97| + |x + 1920| (HOMC 2011 J Q8)

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July 25, 2019
minimumalgebrainequalitiesabsolute value

Problem Statement

Find the minimum value of S=∣x+1∣+∣x+5∣+∣x+14∣+∣x+97∣+∣x+1920∣S = |x + 1| + |x + 5|+ |x + 14| + |x + 97| + |x + 1920|.
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