Consider the floor function inequality ⌊x⌋2−5⌊x⌋+6<0\lfloor x \rfloor^2 - 5\lfloor x \rfloor + 6 < 0⌊x⌋2−5⌊x⌋+6<0. What is the range of xxx?
3≤x<43 \leq x < 43≤x<4
2≤x<42 \leq x < 42≤x<4
2<x<42 < x < 42<x<4
x∈{3}x \in \{3\}x∈{3}