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Greater than Symbol

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March 9, 2023

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In mathematics, the greater than symbol is a basic mathematical symbol which is used to represent the inequality between two values. The symbol used to represent the greater than inequality is “ > “. This is the universally adopted math symbol of two equal length strokes joining in the acute angle at the right. Also, learn less than symbol, which denotes just the opposite of greater than expression.

The typical use of the greater than symbol is to compare two values in which the first number is greater than the second number or one value is greater than the other one. The greater than symbol is an approximation of a closing angle bracket. We can see its huge application in descending order, where the arrangement from the largest number to smallest number is done using greater than a symbol.

Contents hide

1 Greater than Symbol Example

2 How to Use Greater than Symbol?

3 Greater than And Less than Symbol

3.1 Greater than Sign

3.2 Less than Sign

3.3 Greater Than or Equal to Sign

4 Word Problems

4.1 Examples

5 Frequently Asked Questions – FAQs

5.1 What do you mean by greater than symbol?

5.2 What do you mean by less than symbol?

5.3 What is smaller than the symbol?

5.4 What is greater than or equal to a symbol?

5.5 Which is greater 0.5 or 0.25?

5.6 Which is greater ⅗ or ½?

Greater than Symbol Example

5 > 2: 5 is greater than 2
1.2 > 0.8: 1.2 is greater than 0.8
-0.1 > -0. 6: -0.1 is greater than -0.6

Here the list of all the symbols along with greater than symbol with its definition and examples are given in detail.

Symbol	Description	Example
=	Equal to	3+2 = 5
≠	Not equal to	4 + 2 ≠ 5
>	Greater than	6 > 4
≥	Greater than or equal to	Students ≥ 5
<	Less than	3 < 5
≤	Less than or equal to	Students ≤ 50

How to Use Greater than Symbol?

The best way to remember the greater than symbol is the alligator method. When you compare two values, think of the alligator method. We know that the alligator’s mouth is always pointed to the largest value as it can eat as much as possible. In order to represent the greater value by using greater than symbol the alligator mouth always opens to the left.

Greater than And Less than Symbol

To represent the greater value by comparison with other numbers, the alligator’s mouth is always towards the larger value. To represent the inequality between two numbers say 6 and 8, it is written in two different ways as given below.

Greater than Sign

- 8 > 6 (or)

Greater Than Symbol

Less than Sign

The above expression can also be represented using less than sign as:

- 6 < 8

Less than symbol

Both give the same meaning as 8 is greater than 6.

There are some other terminologies used alternately with greater than such as more than, as much as, as old as, not less than, or at least.

Greater Than or Equal to Sign

Sometimes we may observe scenarios where the result obtained by solving an expression for a variable, which are greater than or equal to each other. In such cases, we can use the greater than or equal to symbol, i.e. ≥. For example, x ≥ -3 is the solution of a certain expression in variable x.

Word Problems

Before solving the greater than symbol inequality word problems, make attention to some strategies given below to solve the problem

Go through the entire problem
Highlight the important keywords to solve the problem
Recognize the variables
Write down the equation
Solve the problem
Write the solution in a complete sentence format
Justify the answer.

Question: Ramya has 500 rupees in a savings account at the beginning of the summer. She wants to have at least rupees 200 in the account by the end of the summer. She withdraws rupees 25 every week. Write the inequality expression that represents the Ramya situation.

Solution:

- Highlight the important keyword given

The keyword given here is at least

- Assume the variable

Let x be the number of weeks

- So, the inequality expression is

500 – 25x ≥ 200

Note that here we used greater than or equal symbol instead of using greater than a symbol because Ramya wants to have money which is equal to greater than 200 by the end of the summer. So, greater than or equal to the inequality symbol is used.

Examples

Example 1: Fill in the blanks with the suitable sign.

45 ____ 84
77 ____ 76
12 + 27 ____ 39
98 – 23 ____ 54

Solution:

45 < 84
77 > 76
12 + 27 = 39
98 – 23 ____ 54

Here, 98 – 23 = 75 > 54

Thus, 98 – 23 > 54

Example 2: In the following pair of numbers, identify the greater number and write using the symbol.

-18, -25; -1.5, -1.8

Solution:

Given numbers are: -18, -25

In negative numbers, the number with greater numeral value is less than the number with lesser numerical value.

Thus, -18 is greater than -25, i.e. -18 > -25.

Register with BYJU’S – The Learning App for some important maths-related articles and also watch videos to learn with ease.

Frequently Asked Questions – FAQs

What do you mean by greater than symbol?

Greater than symbol is used when we have to compare two values, in which one value is greater than another value. It is denoted by the symbol ‘>’. Examples are:
10>9, 10 is greater than 9 which is true
7>1, 7 is greater than 1
5>2, 5 is greater than 2

What do you mean by less than symbol?

Less than symbol is used to compare two quantities where one is smaller than the other. It is denoted by the symbol ‘<’. Examples are:
9<10, 9 is less than 10
1<7, 1 is less than 7
2<5, 2 is less than 5

What is smaller than the symbol?

The smaller than symbol is, the less than a symbol, used to compare if one value is smaller than the other one. For example, 8 is smaller than 10, 8<10.

What is greater than or equal to a symbol?

In linear inequalities, greater than or equal to the symbol is used when we are uncertain if the one value is greater than or equal to another value. It is represented by the symbol ‘≥’. In the same way, less than or equal to a symbol (≤) is used to represent when one quantity is either smaller than or equal to another quantity.
Example: 4x + 7 ≥ 6x +3

Which is greater 0.5 or 0.25?

0.5 is greater than 0.25. Symbolically it is represented as 0.5>0.25.

Which is greater ⅗ or ½?

We can check either by rationalising the denominator or finding the actual value of ⅗ and ½.
By rationalisation, we get;
⅗ x (2/2) and ½ x (5/5)
6/10 and 5/10
So as we can see denominators are equal and 6 is greater than 5, therefore,
⅗ > ½
Check:
⅗ = 0.6 and ½ = 0.5
0.6>0.5

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Unveiling the Essence of Tangiers Tobacco

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1 week ago

November 25, 2023

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For those who love hookahs, Tangiers Tobacco is more than just a brand to smoke—it’s an adventure into the world of tastes. We shall go into great detail on the history, types, and customs of Tangiers tobacco in this post.

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Tangiers Tobacco is a well blended product that enhances the hookah experience rather than just being tobacco. Although its origins are ancient, what makes it special is the careful farming, harvesting, and processing that results in a flavor profile that is unmatched.

The Origins of Tangiers Tobacco

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Tangiers Tobacco Varieties

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The Art of Smoking Tangiers

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Tangiers Tobacco and Health

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Tangiers Tobacco Culture

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Hookah Coals Near Me: Unveiling the Ultimate Smoking Experience

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1 week ago

November 25, 2023

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The search for the ideal hookah coals begins here, in the world of extraordinary hookah experiences. To enjoy a rich and enjoyable smoke, it’s important to choose the best hookah coals nearby, regardless of experience level. We’ll take you on a journey to discover the subtleties of hookah coals in this guide, leading you to the greatest solutions out there.

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Explore the vast realm of hookah coals to start your hookah journey. We weigh the benefits and drawbacks of each alternative, from instant lighting to natural coconut coals, so you can make an informed decision.

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Navigating the Market

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Online Retailers: A World of Options at Your Fingertips

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Hookah Coals Near Me: Ensuring Quality

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Conclusion

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