diff --git a/compar.c b/compar.c
index 0fb7e5f658..142cb12a0c 100644
--- a/compar.c
+++ b/compar.c
@@ -95,10 +95,13 @@ cmpint(VALUE x, VALUE y)
 
 /*
  *  call-seq:
- *     obj > other    -> true or false
+ *    self > other -> true or false
  *
- *  Compares two objects based on the receiver's <code><=></code>
- *  method, returning true if it returns a value greater than 0.
+ *  Returns whether +self+ is "greater than" +other+;
+ *  equivalent to <tt>(self <=> other) > 0</tt>:
+ *
+ *    'foo' > 'foo'  # => false
+ *    'food' > 'foo' # => true
  */
 
 static VALUE
diff --git a/hash.c b/hash.c
index 28b7295164..c1cc13383b 100644
--- a/hash.c
+++ b/hash.c
@@ -4971,10 +4971,9 @@ rb_hash_ge(VALUE hash, VALUE other)
 
 /*
  *  call-seq:
- *    self > other_hash -> true or false
+ *    self > other -> true or false
  *
- *  Returns +true+ if the entries of +self+ are a proper superset of the entries of +other_hash+,
- *  +false+ otherwise:
+ *  Returns whether the entries of +self+ are a proper superset of the entries of +other+:
  *
  *    h = {foo: 0, bar: 1, baz: 2}
  *    h > {foo: 0, bar: 1}         # => true   # Proper superset.
diff --git a/numeric.c b/numeric.c
index ef44febe1b..e8df2a6aa0 100644
--- a/numeric.c
+++ b/numeric.c
@@ -1638,7 +1638,8 @@ rb_float_cmp(VALUE x, VALUE y)
  *  call-seq:
  *    self > other -> true or false
  *
- *  Returns +true+ if +self+ is numerically greater than +other+:
+ *  Returns whether the value of +self+ is greater than the value of +other+;
+ *  +other+ must be numeric, but may not be Complex:
  *
  *    2.0 > 1              # => true
  *    2.0 > 1.0            # => true
@@ -4958,7 +4959,8 @@ fix_gt(VALUE x, VALUE y)
  *  call-seq:
  *    self > other -> true or false
  *
- * Returns +true+ if the value of +self+ is greater than that of +other+:
+ * Returns whether the value of +self+ is greater than the value of +other+;
+ * +other+ must be numeric, but may not be Complex:
  *
  *    1 > 0              # => true
  *    1 > 1              # => false
diff --git a/object.c b/object.c
index 2b3535158f..7dda2b6c0d 100644
--- a/object.c
+++ b/object.c
@@ -2009,14 +2009,23 @@ rb_mod_ge(VALUE mod, VALUE arg)
 
 /*
  * call-seq:
- *   mod > other   ->  true, false, or nil
+ *   self > other -> true, false, or nil
  *
- * Returns true if <i>mod</i> is an ancestor of <i>other</i>. Returns
- * <code>false</code> if <i>mod</i> is the same as <i>other</i>
- * or <i>mod</i> is a descendant of <i>other</i>.
- * Returns <code>nil</code> if there's no relationship between the two.
- * (Think of the relationship in terms of the class definition:
- * "class A < B" implies "B > A".)
+ * If +self+ is a class, returns +true+ if +self+ is a superclass of +other+,
+ * returns +false+ if +self+ is the same as +other+ or if +self+ is a subclass
+ * of +other+, and returns +nil+ if there are no relationship between the two:
+ *
+ *   Numeric > Float # => true
+ *   Float > Numeric # => false
+ *   Float > Float   # => false
+ *   Float > Hash    # => nil
+ *
+ * If +self+ is a module, returns +true+ if +other+ includes +self+,
+ * returns +false+ if +self+ is the same as +other+ or if +self+ includes
+ * +other+, and returns +nil+ if there are no relationship between the two:
+ *
+ *   Enumerable > Array # => true
+ *   Enumerable > String # => nil
  *
  */