Learn English – What’s the difference between “the love” and “the lover”

The difference is fairly subtle

• To Emigrate is to leave one country to settle in another. (The focus is on the original country)
• To Immigrate is to come to a new country to live. (The focus is on the new country)

So if I were born in Ireland, and then migrated to the US, all of the following would be true and grammatical:

I emigrated from Ireland.

I immigrated to the US.

(Now the tricky bits)

I emigrated from Ireland to the US. (This focuses on the leaving bit)

I immigrated to the US from Ireland. (This focuses on the arriving bit)

And finally, relatives in Ireland might say:

Dusty emigrated to the US last year. (from their perspective, I left)

While new friends in the US:

Dusty immigrated to the US last year. (from their perspective, I arrived)

As defined from the NOAD, grammar is, "the whole system and structure of a language or of languages in general, usually taken as consisting of syntax and morphology (including inflections) and sometimes also phonology and semantics."

It includes the syntax, but it's not limited to that.

The syntax of a language is, "the arrangement of words and phrases to create well-formed sentences in a language."
For example, the syntax is about which order subject, verb, and object have in a sentence to form a well-formed sentence. A sentence like "like it I" is not considered a well-formed sentence, basing on the English syntax, even if people would understand that the correct sentence is "I like it."