Appropriate to start business email or letter with just "Dear,"?
Solution 1:
Dear is a perfectly appropriate letter greeting in all circumstances. However you do need a noun to follow. "Dear, " on its own doesn't work.
The standard opening if you don't know enough about the reader is "Dear Sir/Madam,"
Note that when used to open a letter, dear is an adjective:
Dear Mr Smith,
Dear Susan,
Dear Sir/Madam,
Dear is also used as a noun, typically in conversational speech:
Yes, dear.
Calm down, dear.
This usage is usually reserved for loved ones -- but this is a completely different usage from the letter opening greeting.
Solution 2:
Dear on its own is not a valid opening for a letter, whether personal or business. I have seen this usage quite a lot, though, in messages posted to online groups by people from India. I suspect this is commonly taught there, but no native English speaker would use it.
Solution 3:
If you address a letter simply as "Dear,", you are actually using a vocative to a person you are calling dear. This would be the same as starting a letter, "My dearest love," such as the famous Sullivan Ballou letter.
I can think of no case in which a formal letter, sent to an institution, would would ever make logical sense.
That said, if you started a personal letter with "Dear," you are calling out to your dearly beloved.
Also note, if you are writing a formal letter, the salutation should be followed by a colon, not a comma. Thus,
Dear Snookums,
but
Dear Sirs:
(Or for that matter To the John Deere Company: or To Whom it may concern: )
Of course, if you follow the link, you'll see that Sullivan Ballou himself actually punctuated his very personal letter with a colon. This is no longer appropriate in Standard English.
Solution 4:
No, it isn't (unless you are addressing your sweetheart). The word "dear" demands a complement.
If you don't know who you're writing to, the traditional salutation is
Dear Sir,
These days, to avoid sexism, most writers prefer
Dear Sir / Madam,
Alternatively, you can address your letter to the group of people you are addressing. E.g.
Dear Purchasing Department,
Dear Stack Exchange Moderators,
Finally, don't forget that when you close a letter, if you don't know the name of the person you are addressing you should sign it:
Yours faithfully,