Graphing Inequalities Worksheet
Teaching inequalities just got easier with our Graphing Inequalities worksheet! This resource is designed for students who are learning about inequalities such as < (less than), ≤ (less than or equal to), > (greater than), and ≥ (greater than or equal to). With 20 engaging questions, this worksheet helps students practice visualising and solving inequalities on a number line.
What's Inside the Worksheet?
The Graphing Inequalities worksheet is packed with activities that guide students through the process of understanding and graphing inequalities. Each question is paired with a number line that ranges from 7 to 7, allowing students to clearly mark the possible values for each inequality.

20 Inequality Questions: The worksheet contains 20 questions that give students ample practice in identifying and representing inequalities. For example, one question might present the inequality 4 ≤ h, and students need to

graph the values of h that satisfy this inequality on the number line.

Number Lines from 7 to 7: Every question is accompanied by a number line, providing students with a visual tool to represent the solutions to the inequalities. This makes it easier for them to see the range of possible values that satisfy each inequality.
Example Questions
Here are a few examples of what students will encounter:

3 < x: Students mark the values on the number line that x could represent (any number greater than 3).

h ≥ 5: Students mark all the values of h that are greater than or equal to 5.

2 > y: Students graph all the numbers that are less than 2.
By working through questions like these, students learn how to interpret inequalities and correctly represent the solutions on a number line.
Why This Worksheet is Effective
The Graphing Inequalities worksheet is designed to support students in developing key maths skills, such as:

Understanding Inequalities: Students learn the difference between symbols like <, ≤, >, and ≥ and how they apply to numbers.

Visual Representation: The number lines in each question help students translate algebraic inequalities into visual form, making abstract concepts more concrete.

Practice with RealWorld Problems: Inequalities are commonly used in realworld situations, from measuring quantities to comparing prices. This worksheet builds a foundation that students can apply beyond the classroom.
How to Use This Worksheet
Here are a few tips for making the most of this worksheet in the classroom:

Classroom Practice: Use this worksheet as a practice tool after introducing inequalities in your maths lessons. It’s a great way to reinforce concepts and check for understanding.

Homework Assignment: The worksheet can also be sent home as a homework assignment to give students extra practice.

Group Work: Split students into pairs or small groups and have them work together to solve and graph each inequality. This can encourage discussion and deeper understanding.

Assessment Tool: Use this worksheet as a formative assessment to see which students have mastered graphing inequalities and who might need extra help.
Why Use Graphing Inequalities?
This worksheet provides students with a simple, effective way to practice graphing inequalities while solidifying their understanding of the <, ≤, >, and ≥ symbols. With 20 varied questions, students will gain confidence in interpreting and solving inequalities through handson practice.
Best of all, it’s completely free! You can download and print this resource directly from our website and start using it in your lessons right away.
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All resources on our website are free to download with a single click. Enjoy teaching with this versatile and engaging worksheet!