```

=== "Python 3.10+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="6-7"
    {!> ../../../docs_src/dependencies/tutorial001_py310.py!}
    ```

=== "Python 3.8+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="8-11"

class Item(BaseModel):
    name: str
    description: str | None = Field(
        default=None, title="The description of the item", max_length=300
    )
    price: float = Field(gt=0, description="The price must be greater than zero")
    tax: float | None = None


@app.put("/items/{item_id}")
async def update_item(item_id: int, item: Item = Body(embed=True)):
    results = {"item_id": item_id, "item": item}

@app.get("/items/next", response_model=Item)
async def read_next_item():
    return {
        "name": "Island In The Moon",
        "price": 12.99,
        "description": "A place to be be playin' and havin' fun",
        "tags": ["breater"],

class Item(BaseModel):
    name: str
    description: str | None = Field(
        default=None, title="The description of the item", max_length=300
    )
    price: float = Field(gt=0, description="The price must be greater than zero")
    tax: float | None = None


@app.put("/items/{item_id}")
async def update_item(item_id: int, item: Annotated[Item, Body(embed=True)]):
    results = {"item_id": item_id, "item": item}

class Item(BaseModel):
    name: str
    description: Union[str, None] = Field(
        default=None, title="The description of the item", max_length=300
    )
    price: float = Field(gt=0, description="The price must be greater than zero")
    tax: Union[float, None] = None


@app.put("/items/{item_id}")
async def update_item(item_id: int, item: Annotated[Item, Body(embed=True)]):
    results = {"item_id": item_id, "item": item}

    ```

=== "Python 3.10+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="66-67  79"
    {!> ../../../docs_src/websockets/tutorial002_py310.py!}
    ```

=== "Python 3.8+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="68-69  81"

* [Aident les autres à résoudre des problèmes (questions) dans GitHub](help-fastapi.md#aider-les-autres-a-resoudre-les-problemes-dans-github){.internal-link target=_blank}.
* [Créent des Pull Requests](help-fastapi.md#creer-une-pull-request){.internal-link target=_blank}.
* Review les Pull Requests, [particulièrement important pour les traductions](contributing.md#traductions){.internal-link target=_blank}.

Une salve d'applaudissements pour eux. 👏 🙇

    ```

=== "Python 3.8+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="8"
    {!> ../../../docs_src/path_params_numeric_validations/tutorial004.py!}
    ```

## Number validations: greater than and less than or equal

The same applies for:

* `gt`: `g`reater `t`han
* `le`: `l`ess than or `e`qual

=== "Python 3.9+"

    ```

=== "Python 3.10+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="3  7  11  45  63  104  106-114  120-123  127-133  138  154"
    {!> ../../../docs_src/security/tutorial005_py310.py!}
    ```

=== "Python 3.9+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```

=== "Python 3.10+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="2  74"
    {!> ../../../docs_src/security/tutorial003_py310.py!}
    ```

=== "Python 3.8+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

    ```Python hl_lines="4  76"