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?
$$
|x-2007|+|x+2007|=k
$$
have $(-\infty,-2007) \cup(2007,+\infty)$ as its solution set?
Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)