diff --git a/HACKING.rst b/HACKING.rst
index 3f2aba90..14eaa609 100644
--- a/HACKING.rst
+++ b/HACKING.rst
@@ -311,6 +311,18 @@ exception possible should be used.
   ``assertIsNotNone(...)`` is preferred over ``assertNotEqual(None, ...)``
   and ``assertIsNot(None, ...)``. Off by default.
 
+- [H204] Use assert(Not)Equal to check for equality.
+  Unit test assertions tend to give better messages for more specific
+  assertions. As a result, ``assertEqual(...)`` is preferred over
+  ``assertTrue(... == ...)``, and ``assertNotEqual(...)`` is preferred over
+  ``assertFalse(... == ...)``. Off by default.
+
+- [H205] Use assert(Greater|Less)(Equal) for comparison.
+  Unit test assertions tend to give better messages for more specific
+  assertions. As a result, ``assertGreater(Equal)(...)`` is preferred over
+  ``assertTrue(... >(=) ...)``, and ``assertLess(Equal)(...)`` is preferred over
+  ``assertTrue(... <(=) ...)``. Off by default.
+
 - [H210] Require ``autospec``, ``spec``, or ``spec_set`` in ``mock.patch()`` or
   ``mock.patch.object()`` calls (off by default)
 
diff --git a/README.rst b/README.rst
index 2744fa90..bbd20be1 100644
--- a/README.rst
+++ b/README.rst
@@ -95,6 +95,8 @@ Some of the available checks are disabled by default. These checks are:
 
 - [H106] Don't put vim configuration in source files.
 - [H203] Use assertIs(Not)None to check for None.
+- [H204] Use assert(Not)Equal to check for equality.
+- [H205] Use assert(Greater|Less)(Equal) for comparison.
 - [H210] Require 'autospec', 'spec', or 'spec_set' in
   mock.patch/mock.patch.object calls
 - [H904] Delay string interpolations at logging calls.
diff --git a/releasenotes/notes/start-of-queens-c3024ebbb49aef6f.yaml b/releasenotes/notes/start-of-queens-c3024ebbb49aef6f.yaml
new file mode 100644
index 00000000..e040684d
--- /dev/null
+++ b/releasenotes/notes/start-of-queens-c3024ebbb49aef6f.yaml
@@ -0,0 +1,8 @@
+---
+features:
+  - |
+    This release includes a new check, disabled by default.
+    [H210] Require 'autospec', 'spec', or 'spec_set' in
+           mock.patch/mock.patch.object calls
+    [H204] Use assert(Not)Equal to check for equality.
+    [H205] Use assert(Greater|Less)(Equal) for comparison.