Inheritance can make code fragile and inflexible, while composition is more flexible. The document discusses favoring composition over inheritance and provides examples. It shows how inheritance between an Order class and CampaignOrder class can break if Order is refactored. Using composition, different order types implement the same interface without relying on each other's implementations. For beverages, inheritance led to an explosion of subclasses, while composition created reusable wrapper classes. Overall, the document advocates favoring composition over inheritance for increased stability and flexibility.