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Formula Sheet

Linear Inequalities — Formula Sheet

NDA · Mathematics

All important formulas from Linear Inequalities for NDA Mathematics. Quick reference for revision and problem solving.

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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 NDA 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 NDA?
Linear Inequalities is an important chapter in NDA 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 NDA?
Linear Inequalities is a frequently tested chapter in NDA Mathematics. Questions from this chapter appear regularly in previous year papers. There are 109 practice questions available for this chapter.
How to prepare Linear Inequalities for NDA?
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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