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How to Graph Inequalities

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Summary: The word "Inequality" confuses many people, but when they hear about "The alligator eating the bigger number", they suddenly remember that symbol from elementary school. The inequality symbol looks like this - > (greater than) or < (less than). There two other inequality symbols that I will discuss in the tutorial.

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By Anthony Zerrer
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I'm a math teacher and a lifeguard. I know that is a strange combination, but they actually go together well. When I'm not teaching, lifeguarding picks up and vise versa.
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Difficulty: Moderately Easy
Instructions
  1. Step 1

    Draw a number line. I like to make mine simple. I will draw a horizontal line with arrows on each end. The center of the line will have zero as a reference for the numbers you will graph.

  2. Step 2

    I will then place a dot on the number involved in the inequality. If I'm graphing x < 4, then I will place an open dot on the 4. The dot is open because I'm graphing the numbers less than 4. If I were graphing the numbers less than or equal to 4 I would place a closed dot over the 4.

  3. Step 3
    Here is an example of
    Here is an example of "x is greater than or equal to 3"

    Now I have to draw another line in the direction of the numbers I want to include in the graph. If I'm graphing x > 3, then I am graphing "the numbers greater than 3". This means I have to draw a line with one arrowhead (also called a ray in Geometry) pointing to the right since the numbers greater than 3 are located to the right of 3.

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