The latest phpmyadmin version doesn’t have the “inline edit” option. Mine is saying “Version information: 3.5.5, latest stable version: 4.0.6”.
The option was changed and is much easier to use now.
Simply double click on any row from your table and the area will become editable.
After you have finished editing your entry, click anywhere outside the area that you just edited and the option will get saved. Don’t leave the page or do anything else until you see the pop-up message “1 row affected.”. The saving process and the message are usually instant.