diff --git a/Lib/_abcoll.py b/Lib/_abcoll.py
index 30ec7d4280c..4009ccb5917 100644
--- a/Lib/_abcoll.py
+++ b/Lib/_abcoll.py
@@ -163,11 +163,24 @@ def __lt__(self, other):
             return NotImplemented
         return len(self) < len(other) and self.__le__(other)
 
+    def __gt__(self, other):
+        if not isinstance(other, Set):
+            return NotImplemented
+        return other < self
+
+    def __ge__(self, other):
+        if not isinstance(other, Set):
+            return NotImplemented
+        return other <= self
+
     def __eq__(self, other):
         if not isinstance(other, Set):
             return NotImplemented
         return len(self) == len(other) and self.__le__(other)
 
+    def __ne__(self, other):
+        return not (self == other)
+
     @classmethod
     def _from_iterable(cls, it):
         '''Construct an instance of the class from any iterable input.