Any of the answers above are the correct ways to go about it, but on a side note, I just thought i'd add a comment about debugging code. It's easy to see from the original code that the condition if ($emailaddr eq $email) isn't at fault, so a good thing to do might be to go into the else and add a statement such as

print "-$emailaddr- ne -$email-\n"
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This could be helpful in the beginning before there are too many email addresses in the database, and the hyphens around each of the variables could help track down hard to find differences such as whitespace. If this is a CGI script, you can instead print to STDERR and check your server's error log.