# Which is greater than 1 or 5

## Greater and lesser equals sign notation explained

On this page, the greater and lesser or equal notation is explained in detail. You need this for almost all others Types of arithmetic in mathematicsand it represents a fundamental relationship.

The larger or smaller sign indicates that a number is larger or smaller than another number. The easiest way to imagine this is using the number system.

Let's just write down all the numbers from 1 to 20 in their order:

(small) 1 - 2- 3 - 4 - 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 - 13 - 14 - 15 - 16 - 17 - 18 - 19 - 20 ... (large)

Logically, the numbers start small on the left and get larger the further they go to the right. So you can make a direct statement about the ratio of the numbers.

With the larger or smaller character, the larger number is always at the larger end and the smaller always at the smaller end, regardless of the direction in which the symbol itself goes - so it's easy to remember 😉

Examples:

1 <2 (1 is less than 2)

5 <18 (5 is less than 18)

or just the other way around:

2> 1 (2 is greater than 1)

18> 5 (18 is greater than 5)

The relationship “greater than or equal to” may seem illogical at first; we can best explain this using an example. The sign in this case is: and vice versa . The line underneath indicates the statement "=".

You need it especially when specifying certain Sets of numbers and often with factual questions in the exam. Here you can find some illustrative examples:

Klaus should buy a cake. His mother gives him money for it, but she only knows that it is more expensive than 10 € but will not cost more than 20 €:

The relationships can be represented mathematically as follows:

Price (cake)> 10 € (the cake costs more than 10 euros)

Price (cake) € 20 (but not more than € 20, so a maximum of exactly these 20 euros or less)

This can also be represented like this:

10 € = The cake costs more than 10 euros (clearly higher than 10) and less, up to exactly 20 euros (less than or equal to 20).

The numbers that come into question for the price of the cake can be sketched like this:

€ 10.01 - - - all numbers in between - - - - € 20.00