I know that, when using a period, comma, or exclamation mark with quotation marks, we should generally place the punctuation inside the quotes. Does this hold in general?
For example, consider the quote
However, when he said "the bag is open", he meant that the bag was not closed.
Should the comma be placed within the quotation marks, as follows
However, when he said "the bag is open," he meant that the bag was not closed.
Is this different between American and British English?