Final answer:
The chmod command impacting confidentiality but not integrity is 'chmod 666', which allows all users to read and write to a file, breaching confidentiality while maintaining data integrity.
Step-by-step explanation:
The chmod command in Linux changes the permissions of a file or a directory. The permissions determine who can read, write, or execute the file. The question asks which chmod command would break the confidentiality of your data but not the integrity. The correct answer is chmod 666. This command grants read and write permissions to the owner, group, and others, which means that any user can read or modify the file, thus breaking confidentiality. However, since write permission is granted, the integrity of the data is not compromised as it can be modified intentionally by a user with the correct permissions.