Finding all the databases whose backup has not happen within one week

select SUBSTRING(s.name,1,40) AS 'Database',
CAST(b.backup_start_date AS char(11)) AS 'Backup Date ',
CASE WHEN b.backup_start_date > DATEADD(dd,-1,getdate())
THEN 'Backup is current within a day'
WHEN b.backup_start_date > DATEADD(dd,-7,getdate())
THEN 'Backup is current within a week'
ELSE '*****CHECK BACKUP!!!*****'
END
AS 'Comment'

from master..sysdatabases s
LEFT OUTER JOIN msdb..backupset b
ON s.name = b.database_name
AND b.backup_start_date = (SELECT MAX(backup_start_date)
FROM msdb..backupset
WHERE database_name = b.database_name
AND type = 'D') -- full database backups only, not log backups
WHERE s.name <> 'tempdb'

ORDER BY s.name
go