How Do You Solve a Quadratic Inequality Algebraically?

How Do You Solve a Quadratic Inequality Algebraically?

Note:

Solving quadratic inequalities can be fun, especially when you use algebra to help! Follow along with this tutorial and see how to find critical values and use them on a number line to find the solution to the inequality!

Keywords:

  • problem
  • solve
  • solving
  • quadratic
  • inequality
  • number line
  • algebraically
  • quadratic equation

Background Tutorials

  • Quadratic Functions

      • What is a Parabola?What is a Parabola?

      What is a Parabola?

      If you graph a linear function, you get a line. If you graph a quadratic function, you get something called a parabola. A parabola tends to look like a smile or a frown, depending on the function. Check out this tutorial and learn about parabolas!

  • Defining Quadratic Equations

      • What is a Quadratic Equation?What is a Quadratic Equation?

      What is a Quadratic Equation?

      You can't go through algebra without seeing quadratic equations. The graphs of quadratic equations are parabolas; they tend to look like a smile or a frown. There's also a bunch of ways to solve these equations! Watch this tutorial and get introduced to quadratic equations!

  • Solving Quadratics by Graphing

  • From Factoring to Solving

      • How Do You Solve a Quadratic Equation by Factoring?How Do You Solve a Quadratic Equation by Factoring?

      How Do You Solve a Quadratic Equation by Factoring?

      One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!

  • Graphing and Solving Quadratic Inequalities

      • What is a Quadratic Inequality?What is a Quadratic Inequality?

      What is a Quadratic Inequality?

      A quadratic inequality is just like a quadratic equation, except instead of an equal sign there's an inequality! Check out this tutorial to see the characteristics of a quadratic inequality and get some practice identifying them.

      • What are Critical Values?What are Critical Values?

      What are Critical Values?

      The critical values of a quadratic inequality are also the x-intercepts of the corresponding quadratic equation. This tutorial provides a great explanation of the critical values of a quadratic inequality!