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Formula Sheet

Linear Inequalities — Formula Sheet

CUSAT CAT · Mathematics

Free Linear Inequalities formula sheet for CUSAT CAT Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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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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Formula Sheet — Linear Inequalities

Important formulas and equations from Linear Inequalities for CUSAT CAT Mathematics.

Formulas — Linear Inequalities

Basic Inequality Rules and Properties

If a > b and c > 0, then ac > bc
If a > b and c < 0, then ac < bc
If a > b, then a + c > b + c

Absolute Value Inequalities

|x| < a ⟺ -a < x < a (where a > 0)
|x| > a ⟺ x < -a or x > a (where a > 0)
|x| ≤ a ⟺ -a ≤ x ≤ a (where a ≥ 0)
|x| ≥ a ⟺ x ≤ -a or x ≥ a (where a ≥ 0)

Linear Inequalities in One Variable

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

Linear Inequalities in Two Variables

ax + by ≤ c or ax + by ≥ c
ax + by < c or ax + by > c

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Frequently Asked Questions

What topics are covered in Linear Inequalities for CUSAT CAT?
Linear Inequalities is an important chapter in CUSAT CAT 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 CUSAT CAT?
Linear Inequalities is a frequently tested chapter in CUSAT CAT 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 CUSAT 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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