I received an email saying my Apple ID has had many attempts of login

Apple will always address you by your name or the name they have on file for you, not Dear Customer, Dear Client or by using your e-mail address.  The e-mail will be from @apple.com or @iTunes.com. E-mail addresses can be spoofed. You can go to Mail/View/Message/Show all Headers to see more. Apple emails won't have poor grammar/misspellings. Apple e-mails will never contain an attachment. Apple will never request personal information by email such as Social Security numbers, your Mother’s maiden name or full credit card numbers . 

The only exception to the above I have noticed is if you order something from the Apple Store (apple.com), your receipt will be addressed to Dear Apple Customer. That is a receipt for a purchase you initiated.

Avoid phishing emails, fake ‘virus‘ alerts, phony support calls, and other scams.   *

ASC YouTube for How to Identify Phishing 

Identifying legitimate emails from the iTunes Store.   *

Send the e-mail to Apple as an attachment to a new e-mail before deleting it. You can forward as an attachment by going to Mail/Message/Forward as attachment. Or control - click on the email and select Forward as attachment. Make sure you send it as an attachment to a new email. If you just forward it, it will probably be rejected. You won’t receive a response.

reportphishing@apple.com  -

Hello ~ More than likely a scam. Did you click on it and give out any info? If not just disregard it.If you want to check your Apple ID go directly to http://appleid.apple.com . If you gave out any information especially Apple ID and passwords take a look here:

If you think your Apple ID has been compromised

Another great resource:

Recognize and avoid phishing messages, phony support calls ...

~Katana-San~