Write the Inequality Shown on Each Number Line
Written by Adi Ackerman, Head Teacher
"Write the Inequality Shown on Each Number Line" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.EE.B.8. If your student is a year younger but already steady on algebra, the page still works. You may just need to read the instructions out loud. And if they are older and inequalities never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: write the inequality shown on 8 number line graphs like x < 4 and x ≥ 12. Answer key included. Part of our inequalities algebra collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with the page that tests values so students see that an inequality has many solutions. Then write and graph, and use the number line reading page as a check.
What students will practice
- Students will read 8 number line graphs and write each as an inequality in x.
- Students will use the circle to tell less than from at most, as in x at most negative 2.
- Students will use the arrow direction to choose greater than or less than.
Curriculum Links
Common Core State Standards
Expressions and Equations · 6th Grade
Standard: Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
View all 6.EE.B.8 worksheets →Find this in the curriculum
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FAQ
How do I use this inequalities worksheet?
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Start with the page that tests values so students see that an inequality has many solutions. Then write and graph, and use the number line reading page as a check.
What does this worksheet teach?
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Write the inequality shown on 8 number line graphs like x < 4 and x ≥ 12. A closed circle means the number is a solution, and an open circle means it is not. The arrow shows the side where the other solutions are. The directions on the page read: Write an inequality for each graph. Use x for the variable. An answer key is included.
Can I use this inequalities worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade algebra, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with inequalities. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do I introduce a number line to a five year old?
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Treat it as a path rather than a picture: your child puts a finger on a number and hops along it, saying each number as they land. Hopping physically is what makes the line make sense. Reading it as a diagram comes much later.
Why use a number line instead of counting objects?
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Objects show how many. A number line shows order and distance, which objects cannot. It is the first tool that makes the gap between numbers visible, and it becomes essential for skip counting, comparison, and later for negative numbers and fractions.
My child counts the marks instead of the hops. Is that a problem?
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It is the classic number line mistake and worth correcting gently. Count the jumps between numbers, not the numbers themselves. Saying "hop" out loud with each move usually fixes it within a session or two.
What is the difference between an open and a closed circle?
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A closed circle means the number is included, for at most or at least. An open circle means it is not included, for less than or greater than. A graph of x at least 12 uses a closed circle at 12 with an arrow to the right.
Can an inequality have more than one solution?
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Yes. Any value that makes it true is a solution. For x + 4 > 11, the values 8, 11 and 15 work, while 3 and 7 do not.
Do the pages use real situations?
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Yes. Students write inequalities for situations such as Jada having less than 16 dollars left, written as m < 16, and graph them on a number line.
Is there an answer key?
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Yes. All 3 inequalities worksheets have an answer key, including the graphs.
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