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Graphing InequalitiesIn the previous lesson, we learned how to solve and graph inequalities in one variable. We learned that an inequality has MULTIPLE solutions and we graphed those solutions on a number line. If you need a recap of that lesson, click here. Now we are going to move onto solving and graphing inequalities in two variables. You may also know these as Linear Inequalities. Again, we are going to apply most of the same rules for graphing equations but there are going to be a few new rules that we must apply! Yes... that's what makes this challenging and exciting!
You will definitely need to remember how to graph equations using slope intercept form, so if you need a refresher, please click here now! There are two things that are going to be different with inequalities. The first, is we are going to be using either a solid line or a dotted line when graphing the equation. The second is, we are going to be shading one side of the line to show all of the MULTIPLE solutions to the inequality. So... first let's take a look at our graphing symbols. You may want to keep this handy for a reference.
Don't worry, when you look at our first example, this will all make more sense! Example 1
For this second example, we'll need to rewrite the equation so that it's in slope intercept form before we graph. Also take note that the sign is greater than or equal to, so we will graph a solid line this time instead of a dotted line.
Example 2
Our last example reinforces how you must REVERSE THE SIGN if you MULTIPLY or DIVIDE by a negative number! Let's take a look.
Example 3
Are You Still Having Trouble Graphing Linear Inequalities?Enter your inequality and click "Draw". |
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