Yes an update this way is quite common. If you want to test without affecting your data you can do
SELECT * FROM table_x
BEGIN TRANS
YourUpdate Here
SELECT * FROM table_x
If it looks right then do a
COMMIT TRANS
or if an error
ROLLBACK TRANS
you will want to do this when not much is going on. Also test the select portion first before you try the test.
On thing thou if WHERE a.elig_tag<>b.elig_tag won't if effect every record in a varifing manner, unless you have two records only.
"Don't roll your eyes at me. I will tape them in place." (Teacher on Boston Public)