How Do You Solve a Quadratic Inequality by Graphing?

Note:

You can solve a quadratic inequality by graphing! Follow along with this tutorial to see how to graph a quadratic inequality and use that graph to find the solution!

Keywords:

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solve
solving
quadratic
inequality
number line
parabola
solutions

Background Tutorials

Ordered Pairs and The Coordinate Plane
- What is the X-Coordinate?
  
  Ordered pairs are a crucial part of graphing, but you need to know how to identify the coordinates in an ordered pair if you're going to plot it on a coordinate plane. In this tutorial, you'll see how to identify the x-coordinate in an ordered pair!
- What is the X-Axis?
  
  To graph a function or plot an ordered pair, you need to use a coordinate plane, so you should learn all about it! In this tutorial, you'll learn about the x-axis and see where it's located in the coordinate plane.
Quadratic Functions
- 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!
Simplifying Expressions
- What's a Coefficient?
  
  There is a bunch of vocabulary that you just need to know when it comes to algebra, and coefficient is one of the key words that you have to feel 100% comfortable with. Check out the tutorial and let us know if you want to learn more about coefficients!
Compound Inequalities
- What's a Compound Inequality?
  
  Wondering what a compound inequality is? Then check out this tutorial! You'll learn the definition for a compound inequality and also see how it can be written in set builder notation. Take a look!
Definitions for Quadratic Functions
- What is the Standard Form of a Quadratic?
  
  Got a quadratic polynomial? Want to put it in standard form? Watch this tutorial to learn the steps it takes to make sure a quadratic polynomial is in standard form!
From Factoring to Solving
- 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!
- What's the Zero Product Property?
  
  The zero-product property let's you split the product of factors into separate equations. Then, you can solve each equation to get the solutions to your original equation! Learn all about this very useful property by watching this tutorial.
Graphing and Solving Quadratic Inequalities
- 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.