diff --git a/doc/en/usage/assertions.rst b/doc/en/usage/assertions.rst
new file mode 100644
index 00000000000..7a559b663de
--- /dev/null
+++ b/doc/en/usage/assertions.rst
@@ -0,0 +1,48 @@
+rst
+.. _approx:
+
+Floating point numbers comparison with approx
+============================================
+
+When dealing with floating point numbers in tests, direct equality comparisons can be problematic due to the way these numbers are represented in memory. As a solution, pytest offers the `approx` function which allows you to compare floating point numbers in a way that is tolerant of their inherent imprecision.
+
+Using `approx`, you can assert that two numbers are approximately equal with a default relative tolerance of 1e-6.
+
+Examples of `approx` usage:
+
+.. code-block:: python
+
+    def test_approx():
+        assert 0.1 + 0.2 == pytest.approx(0.3)
+
+You can specify the precision of the approximation by providing a tolerance:
+
+.. code-block:: python
+
+    def test_approx_with_tolerance():
+        assert 0.1 + 0.2 == pytest.approx(0.3, rel=1e-9)
+
+`approx` also supports comparisons of sequences like lists and tuples, as long as their elements are of numeric types:
+
+.. code-block:: python
+
+    def test_approx_sequences():
+        assert [0.1 + 0.2] == pytest.approx([0.3])
+        assert (0.1, 0.2) == pytest.approx((0.1, 0.2))
+
+Unsupported Types
+-----------------
+
+As of the current version, `approx` no longer supports sets since they are not ordered and cannot meaningfully be used for approximate comparisons. Passing a set to `approx` will result in a `TypeError`.
+
+An example of a type error with sets:
+
+.. code-block:: python
+
+    def test_approx_with_set():
+        with pytest.raises(TypeError):
+            assert {0.1, 0.2, 0.3} == pytest.approx({0.1, 0.2, 0.3})
+
+Please ensure that you use only ordered collections like lists and tuples with `approx` for comparing sequences of numbers.
+
+Note that `approx` is not intended to be used with non-numeric types such as strings or dictionaries.
diff --git a/src/_pytest/python_api.py b/src/_pytest/python_api.py
index 9891946cd1e..90ede8f52a8 100644
--- a/src/_pytest/python_api.py
+++ b/src/_pytest/python_api.py
@@ -311,8 +311,8 @@ class ApproxSequencelike(ApproxBase):
 
     def __repr__(self) -> str:
         seq_type = type(self.expected)
-        if seq_type not in (tuple, list, set):
-            seq_type = list
+        if seq_type not in (tuple, list):
+            raise TypeError(f"pytest.approx() is not supported for sequence type {seq_type.__name__!r}")
         return "approx({!r})".format(
             seq_type(self._approx_scalar(x) for x in self.expected)
         )