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Study Plan

Inequalities — Study Plan

CAT · Quantitative Aptitude

Step-by-step Inequalities study plan for CAT Quantitative Aptitude 2026 — structured month-wise approach to mastering this chapter.

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An infographic illustrating the different inequality symbols (>, <, ≥, ≤) and classifying them into 'strict' and 'slack' inequalities, along with examples of each.
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How to Study Inequalities

A structured approach to studying Inequalities for CAT Quantitative Aptitude.

Study Plan for 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 CAT problems. There are 53 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

  • Strict inequalities: > and < symbols
  • Slack inequalities: ≥ and ≤ symbols
  • Only one relationship can hold between two numbers: a = b, a > b, or a < b

  • Adding/subtracting same value: LHS + c > RHS + c
  • Multiplying/dividing by positive: LHS × c > RHS × c (if c > 0)
  • Multiplying/dividing by negative: LHS × c < RHS × c (if c < 0)

  • AM-GM: (a + b)/2 ≥ √(ab) for positive a, b
  • Triangle inequality: |a + b| ≤ |a| + |b|
  • Square inequality: a² + b² ≥ 2ab

Common Mistakes to Avoid

When multiplying or dividing both sides of an inequality by a negative number, the inequality sign remains unchanged

The solution x > a means x can equal a

For quadratic inequalities, if the discriminant is negative, there is no solution

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Frequently Asked Questions

What topics are covered in Inequalities for CAT?
Inequalities is an important chapter in CAT Quantitative Aptitude. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Definitions, Properties and Transformations of Inequalities, Important Standard Inequalities, Linear Inequalities.
How important is Inequalities for CAT?
Inequalities is a frequently tested chapter in CAT Quantitative Aptitude. Questions from this chapter appear regularly in previous year papers. There are 53 practice questions available for this chapter.
How to prepare Inequalities for CAT?
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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