1. A group of students.(IS NOT A SET)- Many questions may arise upon defining a group of students and those questions are notanswerable by the statement itself (a group of students). Questions such as “How many studentswere there?”, “What is the description of the group?”, “Where does the group came from?”, “Fromwhat school the group belongs?”, “Is the group composed of elementary, secondary or tertiarystudents?”, and many more. These questions may indicate that the statement is arguablebecause it is not clear to which group of students is being referred. Therefore, the alleged “set” isnot well-defined.- As stated by Minnesota State University Moorhead, a set is well-defined if there is no doubt onwhether an object belongs to it or not. Hence, a set is defined so that we can always say what isand what is not a part of the set. Therefore, the alleged “set” is not well-defined because there isa doubt on whether a student belongs to that group or not. In addition, the alleged “set” cannot bedefined because the group itself is not identifiable.- Similar to what MSUM stated, sir Jahrel (my MMW Professor) said that a set is described as awell-defined collection or list of objects called “elements”. The main purpose of being well-definedis to accumulate no point of argument. Referring to the statement “A group of students”, asidefrom the fact that the alleged “set” is not well-defined, we cannot immediately compose a list ofstudents (elements) unless we provide answers to all the questions challenging the existence ofthe said group.2. The set of letters in the phrase “MATHEMATICS IN THE MODERN WORLD”(IS A SET)- “Nothing to argue with” because we can list or define all of the letters (elements) in the phrase.