Care (about) and Care for
Incorrect : She does not care for what people think about her.
Correct : She does not care (about) what people think about her.
Incorrect : Who will care about me when I am old?
Correct : Who will care for me when I am old?
Note: To care about something is to think that it is important. To Care for somebody is to take care of them or look after them. "To care for’ also means "like' in negative and interrogative sentences. For example :
I don't really care for red meat.
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