Solving Quadratic Inequalities
 

Quadratic inequality



A quadratic inequality can have the following forms:










The solutions of a quadratic inequality are obtained by finding where the corresponding quadratic function is positive, negative or equal to zero.


Leading coefficient a > 0 (function facing up)



D > 0 (the function has two real zeros)



The function has the form:





D = 0 (the function has a repeated real zero)



The function has the form:





D < 0 (function has no real zeros)



The function has the form:





Leading coefficient a < 0 (downward facing function)



D > 0 (the function has two real zeros)



The function has the form:





D = 0 (function has a repeated real zero)



The function takes the form:





D < 0 (function has no real zeros)



The function takes the form:





material editor: Anot Alawiye