# Strict inequality

A relation that expresses the comparison between the unequal quantities is called strict inequality.

## Introduction

In mathematics, A quantity is compared with another quantity to understand how different a quantity is from another quantity. If one quantity is different to another quantity, then the two quantities are said the quantities are not equal. The mathematical relation between them is called strict inequality.

Let’s learn the concept of strict inequality from the following cases with understandable examples.

### Greater Than

If one quantity is greater than another quantity in comparison, then a greater than symbol $(>)$ is written between big and small quantities as follows.

1. $3 \,>\, 2$
2. $0.1 \,>\, 0.025$
3. $4 \,>\, \sqrt{2}$

This type of inequality between two quantities is written algebraically as $a > b$ in mathematics.

### Less Than

If one quantity is less than another quantity in comparison, then a less than symbol $(<)$ is written between small and big quantities in the following way.

1. $2 \,<\, 5$
2. $-1 \,<\, 1$
3. $\sqrt{3} \,<\, 7$

This type of inequality between the quantities is written algebraically as $a < b$ in mathematics.

### Not Equal

If a quantity is not equal to another quantity in comparison, then a not equal symbol $(\ne)$ is written between the quantities as follows.

1. $3 \,\ne\, 4$
2. $2 \,\ne\, -9$
3. $\sqrt{2} \,\ne\, \sqrt{5}$

This type of inequality between two quantities is written as $a \ne b$ algebraically in mathematics.

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