# Not Equal

Not Equal

In this mini-lesson, we will explore the unequal sign, unequal synonym, and inequality while discovering the interesting facts around them.

Did you know, the equal sign was first given by an English mathematician named Robert Recorde to avoid repetition of the words "is equal to".

In this chapter, we will learn about an unequal synonym which is "not equal".

Joey received two packets of chocolates from his friends. Is the quantity of chocolates in them equal? No, one bag contains 2 chocolates while the other bag contains 6 chocolates.

Hence, the quantities of chocolates in bags are not equal.

Let's have a look at this simulation below.

Click on the green buttons to increase or decrease the number of apples on either side and see whether your guess for them being equal or unequal is right.

## Lesson Plan

 1 What Do You Mean by Not Equal? 2 Important Notes on Not Equal 3 Solved Examples on Not Equal 4 Interactive Questions on Not Equal 5 Challenging Questions on Not Equal

## What Do You Mean by Not Equal?

The not equal sign is an unequal synonym. The not equal symbol is a sign of "inequality". It is meant to show a comparison between the two quantities which are unequal hence, representing inequality among them.

It is represented by two parallel horizontal lines cut by an inclined vertical line as ($$\neq$$). ## Solved Examples

 Example 1

Jake went to buy fruits for his home. In the list of fruits purchased, he got one watermelon and one pumpkin. Check the bill and tell, did he pay equal money for both? Solution

He got one watermelon for $$5$$

However, he got one pumpkin in $$10$$

As, $$5 \neq 10$$

Hence, as per the bill, it can be told that he did not pay equal money for both.

 $$\therefore$$ He paid unequal money.
 Example 2

William and Jill got their height's checked. This is how it looks. Do the heights of William and Jill look equal?

Solution

As per their heights visible in the scales, the height of William is more than the height of Jill.

Hence, we can conclude that the heights of William and Jill are not equal.

 $$\therefore$$ Their heights are unequal.

## Interactive Questions

Here are a few activities for you to practice. Challenging Questions
1. If the price of 4 watermelons is exactly the same as the price of 5 apples, can Jane say that price of 6 watermelons is equal to the price of 10 apples?

2. Mike and his sister are in the same class. He scored 5 marks more than what his sister scored. If the sum of marks scored by Mike and his sister is 25. Is Mike's score equal to 20?

## Let's Summarize!

We hope you enjoyed learning about unequal with the practice questions. Now you will have a better understanding of unequal, unequal sign, unequal synonym, inequality, and equal.

At Cuemath, our team of math experts is dedicated to making learning fun for our favorite readers, the students!

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Be it worksheets, online classes, doubt sessions, or any other form of relation, it’s the logical thinking and smart learning approach that we, at Cuemath, believe in.

## 1. Which comparison operator means “not equal to”?

The comparison operator which means "not equal to" is ($$\neq$$).

## 2.  How to type does not equal sign?

The not equal sign can be typed as "$$\neq$$".

More Important Topics
Numbers
Algebra
Geometry
Measurement
Money
Data
Trigonometry
Calculus
More Important Topics
Numbers
Algebra
Geometry
Measurement
Money
Data
Trigonometry
Calculus
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