1. The problem statement, all variables and given/known data Find all values of x for which x^2-5x+6<0 2. Relevant equations (x-2)(x-3)<0 3. The attempt at a solution When I draw the graph the solution is clearly 2<x<3 However, if I approach it mathematically (x-2)(x-3)<0 This implies either 1. (x-2) is positive and (x-3) is negative OR 2. (x-2) is negative and (x-3) is positive Case 1 implies 2<x<3 Case 2 implies 2>x>3 Whats up !!!??