1. Determine whether the following statements are TRUE or FALSE and support your answer with a short justification. a. A set is closed if and only if all of its points are limit points. l). A set with no isolated points is a closed set. C. A set with 110 isolated points is an open set. in d. The set E = {W :n E N} is dense in R, that is, for any any 6 R, there exists a, E E such that :1: