1. The problem statement, all variables and given/known data Spot the mistakes of a student 2. Relevant equations 1/x < x < 1 therefore 1<x^2 therefore 1<x but x<1 therefore there are no solution 3. The attempt at a solution the questions requires me to spot the mistake made by a student so first of all in the 2nd line , it reads 1<x^2 . this statement is wrong since the student assumes that x is always >0 i'm not too sure about about the second one , namely 1<x . Since it's related to the first one . What should i put ? is there any other mistakes i have not spotted ?