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Shmoop Study Guides
Shmoop Study Guides
(Sunnyvale - United States)

Shmoop wants to make you a better lover (of literature, history, poetry and writing). See many sides to the argument. Find your writing groove. Understand how lit and history are relevant today. We want to show your brain a good time.  Our mission: To make  ...

Lesson 17: Quadratic Inequalities

The lesson begins with using graphs to solve quadratic inequalities. AN equation modeling the height of a rocket is graphed along with a second equation that represents the minimum height at which the rocket can legally and safely be exploded. The intersections of the graphs provide the solution interval. A second method is then presented where the inequality is put into standard form and then solved for its x-intercepts. Interval notation and union of sets is reviewed before a purely algebraic procedure for solving the inequalities is presented. The lesson concludes with an application problem.

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