Inequalities in Maths

Last Updated : 6 May, 2026

Inequalities are mathematical expressions that show the relationship between two values when they are not equal, i.e., one side can be greater or smaller than the other. We use inequalities in our daily lives in many places, such as:

You must be at least 18 years old to vote, i.e., age ≥ 18 for voting.
The speed limit on the highway is 65 mph. This means you must drive at or below 65 mph: Speed ≤ 65
You must be at least 48 inches tall to ride this rollercoaster.
To qualify for a loan, your income must be higher than $40,000 per year.

Mathematical expressions in which the LHS and RHS are unequal i.e., one is greater than the other or one is smaller than the other, are called inequalities.

Foundations

Learn the core concepts and notation to build a strong base.

Linear Inequalities in One Variable

Understand and solve inequalities involving a single variable.

Inequalities in Two Variables

Extend inequality concepts to two-variable expressions and graphs.

Systems of Inequalities

Work with multiple inequalities together and find common solution regions.

Important Theorems

Explore key theorems and classical results built on inequalities.

Practice

Test your understanding with word problems and practice questions.

URL: https://www.geeksforgeeks.org/maths/inequalities/