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MathNet 2007-part-02 — 187 problems (EN–VI) Question 156

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 156

For what values of $k$ does the equation
$$
|x-2007|+|x+2007|=k
$$
have $(-\infty,-2007) \cup(2007,+\infty)$ as its solution set?