1. to develop; to open up land; to advance or cultivate culture
E.g.: 開運 (good fortune opening up), 開花 (flowering), 開発 (development)
2. to begin; to start
E.g.: 開会 (opening of a meeting), 開業 (starting a business), 開始 (beginning)
3. to open; to become open
E.g.: 開花 (blooming), 開口 (opening one's mouth), 展開 (development)