Linear inequalities in one or two variables: practice and worksheets
Solve and graph linear inequalities in one or two variables, including compound constraints.
Concept overview
An inequality describes a range of values rather than a single solution. Its graph uses an open or closed boundary and shading to show every value that satisfies the condition.
Key points
- Reverse the inequality sign when multiplying or dividing by a negative number.
- Use a solid boundary for ≤ or ≥ and a dashed boundary for < or >.
- Test a point to determine which side of a two-variable boundary to shade.
Worked example
Solving −3x + 2 > 11 gives −3x > 9 and therefore x < −3; the sign reverses when both sides are divided by −3.
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Questions by difficulty
Linear inequalities in one or two variables worksheet practice
Use the printable worksheet for independent practice, then check the answer key and worked explanations.
Frequently asked questions
How should I practice Linear inequalities in one or two variables?
Start with foundation questions, check each answer, and move up a level after several correct answers in a row.
How many practice questions are available?
IQClub currently has 143 published questions for this skill.
Can I use this for test preparation?
Yes. The practice reinforces school mathematics and the same reasoning used in high-school tests and entrance exams.