# Less Than Symbol

In **mathematics,** symbols are like math’s special words, and one important symbol we often see is the “less than” symbol, which looks like this: <.

In this article, we will discuss less than symbol and understanding some examples of less than symbol.

**Symbol**

The less than symbol is `<`

. It signifies that the value on the left is smaller or less than the value on the right.

**Examples**

5 < 8 (Read as “5 is less than 8.”)

12 < 20 (Read as “12 is less than 20.”)

**Table**

Certainly! Here’s a table with examples of the “less than” symbol (<) comparing different numbers:

Number 1 | Number 2 | Comparison |
---|---|---|

5 | 8 | 5 < 8 (5 is less than 8) |

12 | 20 | 12 < 20 (12 is less than 20) |

-3 | 0 | -3 < 0 (-3 is less than 0) |

1.5 | 2.0 | 1.5 < 2.0 (1.5 is less than 2.0) |

-10 | -5 | -10 < -5 (-10 is less than -5) |

7 | 7 | 7 < 7 (7 is not less than 7, they are equal) |

0 | -1 | 0 < -1 (0 is less than -1) |

In each row, we have two numbers, and the “less than” symbol (<) is used to show the comparison between them, indicating which number is smaller or comes before the other in terms of value.

**Applications of the Less Than Symbol**

**Inequality Statements**

One of the primary applications of the less than symbol is in the creation of inequality statements. For example,

```
x < 5
y < 10
```

These inequality statements indicate that x is less than 5, and y is less than 10, enabling mathematicians to establish constraints and boundaries within equations.

**Set Theory**

The less than symbol also finds extensive use in set theory. When dealing with sets and their elements, mathematicians often employ the symbol to define relationships between sets.

For example,

` Set A is a proper subset of Set B, denoted as A < B.`

This notation denotes that all elements of set A are also elements of set B, but A is not equal to B.

**Geometry**

In geometry, the less than symbol can represent angles. For instance:

` âˆ ABC < âˆ XYZ`

This notation signifies that angle ABC is smaller in magnitude than angle XYZ, which is important when working with angles in geometric problems.

## Leave a Reply