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Linear Inequalities — Study Plan

IISER Aptitude Test · Mathematics

Step-by-step Linear Inequalities study plan for IISER Aptitude Test Mathematics 2026 — structured month-wise approach to mastering this chapter.

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An infographic classifying different types of inequalities based on variables, symbols, and degree, including numerical, literal, strict, slack, linear in one variable, linear in two variables, and qu
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How to Study Linear Inequalities

A structured approach to studying Linear Inequalities for IISER Aptitude Test Mathematics.

Study Plan for Linear Inequalities

1

Day 1–2: Learn the Theory

Study the chapter thoroughly. Note down definitions, formulas, and key concepts.

2

Day 3: Practice Problems

Solve practice questions and previous year IISER Aptitude Test problems. There are 121 questions available for this chapter.

3

Day 4: Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding.

What to Focus On

  • Inequalities compare expressions using >, <, ≥, ≤ symbols
  • Strict inequalities (>, <) exclude boundary points
  • Slack inequalities (≥, ≤) include boundary points

  • Same rules as equations, except when multiplying/dividing by negative numbers
  • Inequality sign flips when multiplying/dividing by negative numbers
  • Solutions are represented as intervals on number line

  • Absolute value represents distance from zero
  • |x| < a gives a single interval: (-a, a)
  • |x| > a gives two separate intervals: (-∞, -a) ∪ (a, ∞)

Common Mistakes to Avoid

When multiplying or dividing an inequality by a negative number, the inequality sign remains the same

The solution region for ax + by > c includes the boundary line ax + by = c

For |x| < a, the solution is x < a

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Frequently Asked Questions

What topics are covered in Linear Inequalities for IISER Aptitude Test?
Linear Inequalities is an important chapter in IISER Aptitude Test Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Types of Inequalities, Solving Linear Inequalities in One Variable, Graphical Representation of Linear Inequalities in Two Variables, System of Linear Inequalities.
How important is Linear Inequalities for IISER Aptitude Test?
Linear Inequalities is a frequently tested chapter in IISER Aptitude Test Mathematics. Questions from this chapter appear regularly in previous year papers. There are 121 practice questions available for this chapter.
How to prepare Linear Inequalities for IISER Aptitude Test?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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