Class 11 Mathematics — Chapter 6: Linear Inequalities
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Practise Class 11 Mathematics Chapter 6, "Linear Inequalities", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.
"Linear Inequalities" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Linear Inequalities, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.
Key concepts: Linear Inequalities (Class 11 Mathematics)
This chapter solves linear inequalities in one and two variables, algebraically and graphically, including systems of inequalities.
- Linear inequality
- An inequality like ax + b < 0 (or ≤, >, ≥); the solution is a range of values, not a single number.
- Rule of signs
- Multiplying or dividing both sides by a negative number reverses the inequality sign.
- Solution on the number line
- Solutions of one-variable inequalities are intervals shown on the number line.
- Two-variable inequalities
- Represented as a half-plane; the boundary line is solid (≤, ≥) or dashed (<, >).
- Systems of inequalities
- The common (feasible) region is the intersection of all the individual solution regions — the basis of linear programming.
Key formulas — Linear Inequalities
💡 Exam tips for Linear Inequalities
- Reverse the inequality sign whenever you multiply or divide by a negative number — the most common mistake.
- For two-variable inequalities, test a point (often the origin) to decide which side to shade.
Sample questions
Solve 2x > 6:
Divide both sides by 2.
Solve 1 ≤ x+2 < 5:
Subtract 2 throughout.
Solve |x|<3:
|x|<a ⇔ −a<x<a.
Linear Inequalities — FAQs
What are the key concepts in Class 11 Mathematics Linear Inequalities?+
This chapter solves linear inequalities in one and two variables, algebraically and graphically, including systems of inequalities. Key ideas include Linear inequality, Rule of signs, Solution on the number line, Two-variable inequalities, Systems of inequalities.
What does Class 11 Mathematics Chapter 6 (Linear Inequalities) cover on XamBaaz?+
It covers 66 NCERT-aligned MCQs on "Linear Inequalities" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
Are these "Linear Inequalities" questions free to practise?+
Yes — sign in with Google to practise "Linear Inequalities" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Linear Inequalities" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 66 questions free
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