"each other" versus "one another"

Tuesday, March 15, 2016
 A resource person was addressing a group of people and I heard her say: "We must continue to love each other; work for each other and support each other." I just said to myself: "Sorry, that's a blunder. It's 'one another' ." CAUTION: You only say "each other" when you refer to just two persons. If more than two, say "one another". e.g. The two sisters love each other (not "one another") We must continue to love one another; work for one another and support one another" (not "each other"). Is that clear enough?