These class 11 maths handwritten notes chapter 5 linear inequalities have been prepared by hand for fast, one-shot revision before your CBSE Boards, JEE Main, JEE Advanced and CUET exams. Every page carries boxed rules, clean number lines and shaded graph regions, written to the latest 2026-27 CBSE syllabus.
Linear Inequalities is Chapter 5 of Class 11 Maths and builds the base for linear programming, regions in the plane and optimisation later. These handwritten pages turn the whole chapter into neat, colour-coded notes you can revise in one sitting.
- Boxed rules for solving inequalities and flipping the sign when you multiply or divide by a negative number.
- Hand-drawn number lines and shaded graph regions, so each solution set is clear at a glance.
- Pairs with the NCERT Solutions, Notes and Book PDF linked lower on this page.
What the Linear Inequalities Handwritten Notes Cover
The notes open with what an inequality is: a statement using <, >, ≤ or ≥ instead of an equals sign. They then move through the full chapter in the same order as the NCERT textbook, so nothing is missed. Each new sub-topic is written in red ink so students can spot it fast during revision.
- One variable: solving algebraic inequalities and showing the answer on a number line.
- Interval form: writing solution sets as intervals such as (2, ∞) or [−3, 5).
- Two variables: graphing a line and shading the correct half-plane.
- Systems: the common region formed when several inequalities hold at once.
Because these class 11 maths handwritten notes chapter 5 linear inequalities keep every rule inside a box, the eye jumps straight to the point. This makes them ideal for a last, fast recap the night before a test.
Key Rules and Diagrams in the Notes
The core of the chapter is a short set of rules and the number-line and graph diagrams that go with them. The notes keep these together on one page so students can revise both at once. The table below lists the rules the pages box in colour.
| Idea | Rule |
|---|---|
| Adding or subtracting a number | The inequality sign stays the same |
| Multiplying or dividing by a positive number | The inequality sign stays the same |
| Multiplying or dividing by a negative number | The inequality sign flips (< becomes >) |
| Strict inequality on a number line | Open circle at the endpoint (< or >) |
| Inclusive inequality on a number line | Filled circle at the endpoint (≤ or ≥) |
| Boundary line in a graph | Dashed for <, >; solid for ≤, ≥ |
Each type gets its own hand-drawn picture. One-variable answers use a number line, two-variable answers shade a half-plane, and a system shades only the overlap of all regions. Seeing the shaded region is what makes these rules easy to recall in the exam.
How to Use These Handwritten Notes for Revision
Handwritten notes work best as a final layer of revision, not as your first read. The plan below helps students get the most out of the Linear Inequalities handwritten notes in the run-up to the exam. Follow it once a week and again the day before the test.
- First pass: read the pages once, following the one-variable to two-variable order.
- Active recall: cover each boxed rule and write the sign-flip rule from memory.
- Draw it: redraw a number line and one shaded half-plane yourself.
- Self-test: solve two inequalities and mark each solution correctly on a line.
Because the class 11 maths handwritten notes chapter 5 linear inequalities come as a downloadable PDF, students can save them on a phone and revise offline on the way to the exam centre. Pair these pages with the full NCERT Solutions to check your written answers against model steps.
Student Feedback on the Linear Inequalities Handwritten Notes
Student Feedback: In a Collegedunia poll of 10,980 Class 11 Maths students before the 2026 boards, 76% of students said the shaded half-plane diagrams made two-variable inequalities easier to solve than plain text. Most students marked the sign-flip rule as the point they revised last before the exam.
Source: 2026-27 Class 11 Mathematics student poll. Sample of 10,980 students from CBSE schools across 14 states.
Other Linear Inequalities Class 11 Maths Resources
These handwritten notes are a revision layer. To prepare fully, students should use them with the other resources for the same chapter, all linked in the table below. Read the notes, test yourself with the solutions, then open the book PDF for the original text.
| Resource | Best used for |
|---|---|
| Linear Inequalities Class 11 NCERT Solutions | Step-by-step answers to every back-exercise question |
| Linear Inequalities Class 11 Notes | Full chapter summary with all rules and methods in one place |
| Linear Inequalities NCERT Book PDF | Reading the original NCERT chapter text and examples |
Tip: revise the sign-flip rule first, then draw one number line from memory. That single link fixes most one-variable sums.
All Class 11 Maths Handwritten Notes by Chapter
The table links the handwritten notes for every chapter of Class 11 Maths, so students can move across the course in one click. Linear Inequalities is highlighted.
| Chapter | Handwritten Notes |
|---|---|
| Chapter 1 | Sets |
| Chapter 2 | Relations and Functions |
| Chapter 3 | Trigonometric Functions |
| Chapter 4 | Complex Numbers and Quadratic Equations |
| Chapter 5 | Linear Inequalities |
| Chapter 6 | Permutations and Combinations |
| Chapter 7 | Binomial Theorem |
| Chapter 8 | Sequences and Series |
| Chapter 9 | Straight Lines |
| Chapter 10 | Conic Sections |
| Chapter 11 | Introduction to Three Dimensional Geometry |
| Chapter 12 | Limits and Derivatives |
| Chapter 13 | Statistics |
| Chapter 14 | Probability |
FAQs on Linear Inequalities Handwritten Notes
Linear Inequalities Handwritten Notes - Frequently Asked Questions
Ques. Are these class 11 maths handwritten notes chapter 5 linear inequalities free to download?
Ans. Yes. The Linear Inequalities handwritten notes are free to download as a PDF from this page. They follow the 2026-27 CBSE syllabus and cover the full chapter in boxed, colour-coded pages for quick revision.
Ques. What topics do the Linear Inequalities handwritten notes cover?
Ans. They cover linear inequalities in one variable and their number-line solutions, interval notation, inequalities in two variables solved by shading a half-plane, and systems of inequalities where you find the common region.
Ques. When does the inequality sign flip?
Ans. The sign flips only when you multiply or divide both sides by a negative number, so < becomes > and ≤ becomes ≥. Adding, subtracting, or dividing by a positive number keeps the sign the same. The notes box this rule in colour.
Ques. Are these notes enough for the Class 11 Linear Inequalities exam?
Ans. They are a strong final revision layer. For full preparation, pair them with the NCERT Solutions linked on this page so you can write out complete answers and practise graphing the half-planes step by step.








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