### Graphing single-variable inequalities

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

3072 x

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:

2736 x

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:

2902 x

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:

### Geometry

Circles
Congruent Triangles
Constructions
Parallel Lines and the Coordinate Plane
Properties of Triangles

### Algebra and Pre-Algebra

Beginning Algebra
Beginning Trigonometry
Equations
Exponents
Factoring
Linear Equations and Inequalities
Percents
Polynomials