Did you consider just checking it? If x= 0, for example, so "x< -1/7" is clearly not correct.

Your analysis for -2< x< 1/2 gave x< 3/5 which is certainly true of all x< 1/2< 3/5 so YOUR calculations say that any number less than 1/2 satisfies the inequality.

Your analysis for x> 1/2 give x< 1 so all numbers between 1/2 and 1 also satisfy the inequality. What YOU did shows that the inequality is satisfied for all .

Your only mistake is the last step where you say "after combining , the solution would be " which does not follow at all.