Find the range of kkk such that the system ∣x−1∣≤2|x-1| \leq 2∣x−1∣≤2 and ∣x−k∣≥1|x-k| \geq 1∣x−k∣≥1 has no solution.
k∈(−1,3)k \in (-1, 3)k∈(−1,3)
k∈[0,2]k \in [0, 2]k∈[0,2]
k∈(−2,4)k \in (-2, 4)k∈(−2,4)
k∈∅k \in \emptysetk∈∅