diff --git a/changelog/fix_false_positives_for_style_inverse_methods.md b/changelog/fix_false_positives_for_style_inverse_methods.md
new file mode 100644
index 000000000000..78a76008b943
--- /dev/null
+++ b/changelog/fix_false_positives_for_style_inverse_methods.md
@@ -0,0 +1 @@
+* [#12649](https://github.com/rubocop/rubocop/issues/12649): Fix false positives for `Style/InverseMethods` when using relational comparison operator (`<`) with safe navigation operator. ([@koic][])
diff --git a/lib/rubocop/cop/style/inverse_methods.rb b/lib/rubocop/cop/style/inverse_methods.rb
index c45f5df1c631..2276c9ea496a 100644
--- a/lib/rubocop/cop/style/inverse_methods.rb
+++ b/lib/rubocop/cop/style/inverse_methods.rb
@@ -76,9 +76,9 @@ def self.autocorrect_incompatible_with
         PATTERN
 
         def on_send(node)
-          inverse_candidate?(node) do |_method_call, lhs, method, rhs|
+          inverse_candidate?(node) do |method_call, lhs, method, rhs|
             return unless inverse_methods.key?(method)
-            return if negated?(node)
+            return if negated?(node) || relational_comparison_with_safe_navigation?(method_call)
             return if part_of_ignored_node?(node)
             return if possible_class_hierarchy_check?(lhs, rhs, method)
 
@@ -155,6 +155,10 @@ def negated?(node)
           node.parent.respond_to?(:method?) && node.parent.method?(:!)
         end
 
+        def relational_comparison_with_safe_navigation?(node)
+          node.csend_type? && CLASS_COMPARISON_METHODS.include?(node.method_name)
+        end
+
         def not_to_receiver(node, method_call)
           Parser::Source::Range.new(node.source_range.source_buffer,
                                     node.loc.selector.begin_pos,
diff --git a/spec/rubocop/cop/style/inverse_methods_spec.rb b/spec/rubocop/cop/style/inverse_methods_spec.rb
index b529be2e2224..d9712adfc44e 100644
--- a/spec/rubocop/cop/style/inverse_methods_spec.rb
+++ b/spec/rubocop/cop/style/inverse_methods_spec.rb
@@ -209,6 +209,30 @@ def test_method
     end
   end
 
+  it 'allows comparing for relational comparison operator (`<`) with safe navigation operator' do
+    expect_no_offenses(<<~RUBY)
+      !nullable&.<(0)
+    RUBY
+  end
+
+  it 'allows comparing for relational comparison operator (`<=`) with safe navigation operator' do
+    expect_no_offenses(<<~RUBY)
+      !nullable&.<=(0)
+    RUBY
+  end
+
+  it 'allows comparing for relational comparison operator (`>`) with safe navigation operator' do
+    expect_no_offenses(<<~RUBY)
+      !nullable&.>(0)
+    RUBY
+  end
+
+  it 'allows comparing for relational comparison operator (`>=`) with safe navigation operator' do
+    expect_no_offenses(<<~RUBY)
+      !nullable&.>=(0)
+    RUBY
+  end
+
   it 'allows comparing camel case constants on the right' do
     expect_no_offenses(<<~RUBY)
       klass = self.class