Linear Inequation
ICSE · Class 10 · Mathematics
Summary of Linear Inequation for ICSE Class 10 Mathematics. Key concepts, important points, and chapter overview.
Interactive on Super Tutor
Studying Linear Inequation? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.
1,000+ Class 10 students started this chapter today
Super Tutor has 5+ illustrations like this for Linear Inequation alone — flashcards, concept maps, and step-by-step visuals.
See them allOverview
Linear inequations are mathematical statements that express relationships between quantities using inequality symbols (<, >, ≤, ≥). Unlike equations that show equality, inequations show that one expression is greater than, less than, or equal to another. This chapter builds upon your knowledge of li
Key Concepts
A mathematical statement of the form
A mathematical statement of the form ax + b > 0, ax + b < 0, ax + b ≥ 0, or ax + b ≤ 0, where a ≠ 0. It involves only first-degree terms and expresses
The set from which values
The set from which values of the variable are chosen to test the inequation. It can be natural numbers (N), whole numbers (W), integers (Z), or real n
The set of all values from
The set of all values from the replacement set that satisfy the given inequation when substituted for the variable. It is always a subset of the repla
Different ways to represent continuous ranges
Different ways to represent continuous ranges of numbers: Open intervals (a,b) exclude endpoints, closed intervals [a,b] include endpoints, and semi-o
Addition
Addition-Subtraction Rule: Adding or subtracting the same number preserves inequality direction. Multiplication-Division Rule: Multiplying or dividing
Learning Objectives
- Understand the concept of linear inequations and distinguish them from linear equations
- Learn to solve linear inequations algebraically using proper rules and techniques
- Express solutions in set notation form for different number systems (N, W, Z, R)
- Represent solutions graphically on number lines using appropriate symbols
- Apply inequation concepts to solve real-world problems involving ranges and constraints
Frequently Asked Questions
What are the important topics in Linear Inequation for ICSE Class 10 Mathematics?
How to score full marks in Linear Inequation — ICSE Class 10 Mathematics?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Linear Inequation
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually
For serious students
Get the full Linear Inequation chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 10 Mathematics.