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...Best methods for solving quadratic inequalities i generalities there are common to solve therefore students sometimes confused select the fastest and method generally explain below these then compare them through selected examples a inequality in standard form f x ax bx c or means finding all values of that make true constitute solution set expressed intervals terms infinity closed interval end points included half only point is iii most number line test given with not equal zero suppose discriminant d equation has real roots plot on they divide into one segment rays should be either always use origin o as substitute if it located ray part other also belongs due symmetrical property parabola graph note when no this can t used case you must by algebraic double root at b apply may even triple system two three variable see book titled new equations amazon e page example first step write second third inside we get express open endpoints left symmetry last diagonal sum fails factored formul...