Inequalities question help me please...

modulus 2x-1 < 1/(modulus 1-2x) ??

|2x−1| < 1/|1−2x|
|2x−1| × |1−2x| < 1
|(2x−1)(1−2x)| < 1
|−(2x−1)(2x−1)| < 1
|−1| |(2x−1)²| < 1
(2x−1)² < 1
−1 < 2x−1 < 1
0 < 2x < 2
0 < x < 1.