bpo-42780: Fix set_inheritable() for O_PATH file descriptors on Linux (GH-24172)

diff --git a/Lib/test/test_os.py b/Lib/test/test_os.py
index 08d7ab8..96fddc7 100644
--- a/Lib/test/test_os.py
+++ b/Lib/test/test_os.py
@@ -3881,6 +3881,33 @@ def test_set_inheritable_cloexec(self):
         self.assertEqual(fcntl.fcntl(fd, fcntl.F_GETFD) & fcntl.FD_CLOEXEC,
                          0)
 
+    @unittest.skipUnless(hasattr(os, 'O_PATH'), "need os.O_PATH")
+    def test_get_set_inheritable_o_path(self):
+        fd = os.open(__file__, os.O_PATH)
+        self.addCleanup(os.close, fd)
+        self.assertEqual(os.get_inheritable(fd), False)
+
+        os.set_inheritable(fd, True)
+        self.assertEqual(os.get_inheritable(fd), True)
+
+        os.set_inheritable(fd, False)
+        self.assertEqual(os.get_inheritable(fd), False)
+
+    def test_get_set_inheritable_badf(self):
+        fd = os_helper.make_bad_fd()
+
+        with self.assertRaises(OSError) as ctx:
+            os.get_inheritable(fd)
+        self.assertEqual(ctx.exception.errno, errno.EBADF)
+
+        with self.assertRaises(OSError) as ctx:
+            os.set_inheritable(fd, True)
+        self.assertEqual(ctx.exception.errno, errno.EBADF)
+
+        with self.assertRaises(OSError) as ctx:
+            os.set_inheritable(fd, False)
+        self.assertEqual(ctx.exception.errno, errno.EBADF)
+
     def test_open(self):
         fd = os.open(__file__, os.O_RDONLY)
         self.addCleanup(os.close, fd)