Find the range of kkk such that the system ∣x−2∣≤1|x-2| \leq 1∣x−2∣≤1 and x2−kx<0x^2 - kx < 0x2−kx<0 has a non-empty solution set.
k<1k < 1k<1
k>3k > 3k>3
1<k<31 < k < 31<k<3
k>0k > 0k>0 and k<4k < 4k<4