Solve ⌊x⌋2−3⌊x⌋+2<0\lfloor x \rfloor^2 - 3\lfloor x \rfloor + 2 < 0⌊x⌋2−3⌊x⌋+2<0.
1<⌊x⌋<21 < \lfloor x \rfloor < 21<⌊x⌋<2
No solution
x∈[1,2)x \in [1, 2)x∈[1,2)
x∈[2,3)x \in [2, 3)x∈[2,3)