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.

RV

Rohit Verma ✓ Verified by Collegedunia

M.Sc. Mathematics, 8 years of CBSE Class 11 and 12 Maths teaching. These notes are written and proofread by hand.

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.

IdeaRule
Adding or subtracting a numberThe inequality sign stays the same
Multiplying or dividing by a positive numberThe inequality sign stays the same
Multiplying or dividing by a negative numberThe inequality sign flips (< becomes >)
Strict inequality on a number lineOpen circle at the endpoint (< or >)
Inclusive inequality on a number lineFilled circle at the endpoint (≤ or ≥)
Boundary line in a graphDashed 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.

ResourceBest used for
Linear Inequalities Class 11 NCERT SolutionsStep-by-step answers to every back-exercise question
Linear Inequalities Class 11 NotesFull chapter summary with all rules and methods in one place
Linear Inequalities NCERT Book PDFReading 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.

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.