1. The problem statement, all variables and given/known data Hi, there are several methods to solve an quadratic inequality. 1:by graph 2:if (x-a)(x-b) > 0,(x-a) > 0 and (x-b) > 0 or (x-a) < 0 and (x-b) < 0....... 3.Using test value method i.e.Find a and b in the expanded form of (x-a)(x-b) a and b are the critical values,then we take a value of x from different interval and check whether it satisfies the inequality or not. 2. Relevant equations 3. The attempt at a solution We need to factorize before using method 2 and 3. Is there any method to solve an quadratic inequality without factorizing?