Solution set of the inequality 12x−1>11−2x−1 is

Put 2x=t. Then t>0. The given inequality becomes 1t−1>22−t⇒1t−1−22−t>0⇒2−t−2t+2(t−1)(2−t)>0⇒4−3t(t−1)(2−t)>0⇒(t−1)(t−4/3)(t−2)>0.From above sign scheme, we get 12. ⇒     1<2x<4/3 or 2x>2⇒     01