If the complete set of value of satisfying is

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

If the complete set of value of xx satisfying ∣x−1∣+∣x−2∣+∣x−3∣≥6|x-1| + |x-2| + |x-3| \ge 6 is (−∞,a]∪[b,∞)(-\infty, a] \cup [b, \infty), then a+b=a+b = : (a) 2 (b) 3 (c) 6 (d) 4

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