Linear Inequalities
Uttarakhand Board · Class 11 · Mathematics
Quick revision notes for Linear Inequalities — Uttarakhand Board Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Introduction to Inequalities
- Inequalities arise naturally in real-life situations involving comparisons and constraints
- Examples: height restrictions, budget limitations, capacity constraints
- Inequalities use symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to)
Types of Inequalities
- Strict inequalities: Use < or > symbols, do not include the boundary value
- Slack (Non-strict) inequalities: Use ≤ or ≥ symbols, include the boundary value
- Linear inequalities in one variable: ax + b < 0, ax + b > 0, etc. (where a ≠ 0)
Rules for Solving Linear Inequalities
- Rule 1: Equal numbers may be added to or subtracted from both sides without changing the inequality sign
- Rule 2: Both sides can be multiplied or divided by the same positive number without changing the inequality sign
- CRITICAL Rule 2 Exception: When multiplying or dividing by a negative number, the inequality sign must be reversed
Algebraic Solutions of Linear Inequalities in One Variable
- Solution of an inequality: Any value of the variable that makes the inequality a true statement
- Solution set: The set of all solutions of an inequality
- Unlike equations which usually have one solution, inequalities typically have infinitely many solutions
Get complete notes with diagrams and examples
Full NotesKey Concepts
Get detailed revision notes for Linear Inequalities
Super Tutor gives you interactive content for every chapter of Uttarakhand Board Class 11 Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What are the important topics in Linear Inequalities for Uttarakhand Board Class 11 Mathematics?
Linear Inequalities covers several key topics that are frequently asked in Uttarakhand Board Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Inequalities — Uttarakhand Board Class 11 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More Resources for Linear Inequalities
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually