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Formula Sheet

Inequalities — Formula Sheet

XAT · Quantitative Ability & Data Interpretation

Free Inequalities formula sheet for XAT Quantitative Ability & Data Interpretation 2026 — all important formulas, equations, and constants for quick reference.

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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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Formula Sheet — Inequalities

Important formulas and equations from Inequalities for XAT Quantitative Ability & Data Interpretation.

Formulas — Inequalities

Basic Properties and Definitions

a > b means a - b > 0
If a > b, then a ± c > b ± c
If a > b and c > 0, then ac > bc
If a > b and c < 0, then ac < bc

Important Standard Inequalities

a² + b² ≥ 2ab
AM ≥ GM: (a + b)/2 ≥ √(ab)
|a + b| ≤ |a| + |b|
a/b + b/a ≥ 2

Linear Inequalities

ax + b > 0 → x > -b/a (if a > 0)
ax + b > 0 → x < -b/a (if a < 0)

Quadratic Inequalities

ax² + bx + c > 0, D = b² - 4ac
D < 0: Always same sign as 'a'
D = 0: Same sign as 'a' except at x = -b/2a
D > 0: Sign changes at roots

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Frequently Asked Questions

What topics are covered in Inequalities for XAT?
Inequalities is an important chapter in XAT Quantitative Ability & Data Interpretation. 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 XAT?
Inequalities is a frequently tested chapter in XAT Quantitative Ability & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 53 practice questions available for this chapter.
How to prepare Inequalities for XAT?
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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