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VYO . . LTE "Fill 47% ) 12:56 PM + . . . MATH 107, QUIZ 1 Due Sunday, November 3, 2019 ME: I have completed this assignment myself, working independently and not consulting anyone except the instructor. INSTRUCTIONS There are 13 questions/problems (on four pages), some have multiple parts. The quiz is worth 100 points, equivalent to 8% of your final course grade. This quiz is open book and open notes. This means that you may refer to your e-text/textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than 17:59 PM (US Eastern Time Zone) Sunday, November 3, 2019. Show work/explanation. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also; a single file in pdf format, with your name and quiz number in the file name, is preferred. In your document, be sure to include your name and the assertion of independence of work (the above statement) If you have any question, please post it in "Ask the Professor" discussion on LEO if the answer to your question would benefit others in class; otherwise, please contact me privately via e-mail, provided in the class syllabus PLEASE READ THE QUESTIONS/PROBLEMS CAREFULLY; SHOW ALL YOUR WORKAND REASONING, Just the answer, without supporting work, will receive no credit. 1. (20 points) Provide answers to this question to demonstrate your knowledge of ways to describe sets. Consider the set of letters in the entire alphabet to be the universal set U. Let F represent the set of letters (just one of each existing one, no repetition) found in your first name. Let L represent the set of letters (just one of each existing one, no repetition) found in your last name. (a) Use the verbal method to define U (b) Write your first and last names. (c) Provide a roster description of F. (Hint: Please carefully read the description of the roster method on page 3 (Section 0.1) of the e-book. (d) Provide a roster description of L. (e) Provide a set-builder description of F. (f) Draw a Venn Diagram to graphically represent the sets U, F, and L, noting that the letters reflected in the entire diagram would be unique, if the relationships between sets were correct. (g) If V represents the set of vowels (A, E, I, 0, U) existing in your last name, show how it would be graphically represented in your Venn Diagram drawn for Part (f) above. You may draw a new Venn Diagram or work on the one already drawn. (h) Using correct mathematical notation, show the relationship between V and L. 2. (12 points) The variable x can be neither 4 nor 8; it can be any other positive real number, including zero. Express the set of numbers that x can represent, using the following formats
