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Absolute value equation

Source:

January 11, 2007

Problem Statement

Find all real numbers that satisfy the equation ∣x+3∣−∣x−1∣=x+1|x+3|-|x-1|=x+1. (Note: ∣a∣=a|a| = a if a≥0a\ge 0; ∣a∣=−a|a|=-a if a<0a<0.)
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