Solve Linear Inequalities by Addition or Subtraction
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More Lessons for Grade 8
Math Worksheets
Examples, solutions, videos, worksheets, and lessons to help Grade 8 students learn about solving linear inequalities by addition or subtraction.
How to solve one-step linear inequalities?
Solving one-step linear inequalities is very similar to solving one-step linear equations. The goal is to isolate the variable on one side of the inequality symbol. However, there’s one crucial rule to remember:
- When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.
However, when using addition or subtraction, the inequality sign does not change.
The solutions to linear inequalities can be expressed in several ways: using inequalities, using a graph, or using interval notation.
The following diagrams give examples of solving a one-step linear inequalities. Scroll down the page for more examples and solutions.
Algebra Worksheets
Practice your skills with the following Algebra worksheets:
Printable & Online Algebra Worksheets
Solving One-Step Linear Inequalities in One Variable
This video teaches how to solve one step linear inequalities in one variable. The solution is given as an inequality, a graph, and using interval notation.
Solving Inequalities by Adding or Subtracting
This video looks at solving one-step inequalities by adding or subtracting and then graphing the solution. It includes two examples.
How to solve inequalities with addition?
How to Solve Single-Step Inequalities by Addition or Subtraction?
Important Tips
- Remember to flip the sign when multiplying/dividing by a negative.
- When graphing:
Use open circle (○): For < or >.
Use closed circle (●): For ≤ or ≥.
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