There are just a few important concepts that you must know in order to graph an inequality. Let’s review a number line.

The negative numbers are on the left of the zero and the positive numbers are on the right.

**Example 1**

\(r > - 5\)

This is read as “r is greater than -5.” This means it includes all numbers greater than, or to the right, of -5 but does not include -5 itself. We will have to show this by using an open circle and having the arrow shoot out to the right.

**Example 2**

\(x \le 0.4\)

This is read as “x is less than or equal to 0.4.” This time we include the 0.4 by using a closed circle and the arrow will shoot out to the left. The number 0.4 is in between the 0 and the 1 on a number line.

**Example 3**

\( - 3 < p\)

Be careful with this one! Since it is backwards, it is read as “p is *greater* than -3.” You always read an inequality starting with the variable. This means that the graph will have an open circle and will shoot out to the right.

Here is a summary of the important details in graphing inequalities.

**Make sure you read the inequality starting with the variable!**

“greater than” or “greater than or equal to” – arrow shoots out to the right

“less than” or “less than or equal to” – arrow shoots out to the left

will have open circles

\( \le \) and \( \ge \) will have closed circles

Below you can **download** some** free** math worksheets and practice.

Draw a graph for each inequality.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch below how to solve this example:**

Draw a graph for each inequality.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch below how to solve this example:**

Draw a graph for each inequality.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch below how to solve this example:**