Quadratic or Nonlinear InequalitiesA series of free Intermediate Algebra Lessons from Thinkwell's online Algebra series. Thinkwell's products and courses are being used by thousands of students at schools and universities across the globe.
Graphing a Quadratic Inequality Solving a quadratic inequality by graphing is not difficult if you remember the basics of graphing a quadratic equation. When graphing quadratic inequalities, first graph the quadratic equation then pick a point that is not on the parabola itself and plug it into the original inequality. If the statement is true, shade in the area where that point lies. If the statement is false, shade in the other area.
Solving a Quadratic Inequality using a Sign Chart Similar to when we solve quadratic equations, there are several ways we can solve quadratic inequalities. Solving quadratic inequalities can be done in two ways: by graphing the quadratic inequality or by using a sign chart. One of the advantages of using a sign chart to graph quadratic inequalities is that we aren't required to graph the parabola in order to solve the inequality, which saves time.
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