diff --git a/src/validators/_extremes.py b/src/validators/_extremes.py
index fda93f9..3f11ec8 100644
--- a/src/validators/_extremes.py
+++ b/src/validators/_extremes.py
@@ -23,7 +23,7 @@ class AbsMax:
 
     def __ge__(self, other: Any):
         """GreaterThanOrEqual."""
-        return other is not AbsMax
+        return not isinstance(other, AbsMax)
 
 
 @total_ordering
@@ -44,4 +44,4 @@ class AbsMin:
 
     def __le__(self, other: Any):
         """LessThanOrEqual."""
-        return other is not AbsMin
+        return not isinstance(other, AbsMin)
diff --git a/src/validators/ip_address.py b/src/validators/ip_address.py
index 94a42c6..c7233ee 100644
--- a/src/validators/ip_address.py
+++ b/src/validators/ip_address.py
@@ -88,7 +88,9 @@ def ipv4(
         if cidr:
             if strict and value.count("/") != 1:
                 raise ValueError("IPv4 address was expected in CIDR notation")
-            return IPv4Network(value, strict=not host_bit) and _check_private_ip(value, private)
+            # Extract IP part for private check when using CIDR notation
+            ip_part = value.split('/')[0] if '/' in value else value
+            return IPv4Network(value, strict=not host_bit) and _check_private_ip(ip_part, private)
         return IPv4Address(value) and _check_private_ip(value, private)
     except (ValueError, AddressValueError, NetmaskValueError):
         return False