# Challenge Exercises on Sets

Directions: Read each question below. You may draw a Venn diagram to help you find the answer. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, rethink your answer, then choose a different button.

 1. What is wrong with the set listed below? D = {m, a, t, h, e, m, a, t, i, c, s} It is not written with roster notation. A capital letter is used to represent this set. The objects in this set are not unique. None of the above. RESULTS BOX:
 2. Which of the following statements is true about the set listed below? C = {prime numbers less than 20} 9 C -2 C C is an infinite set. All of the above. RESULTS BOX:
 3. Which of the following is a finite set? { x  : x  ≥  2 and x ≤ 6  } A = {0, 1, 2, 3, ...} B = {-3, -2, -1, 0, 1, 2, 3, 4, 5, ...} RESULTS BOX:
 4. Which of the following sets is equal to the set given below?  { n  | -3  ≤  n  < 7 } D = {..., -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...} E = {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7} F = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6} All of the above. RESULTS BOX:
 5. How many subsets of M are there? M = {a, e, i, o, u} 5 16 32 None of the above. RESULTS BOX:
 6. If = {whole numbers less than 20} and P = {prime numbers less than 20}, then which of the following sets overlaps with P,and is also a part of ? Q = {even numbers less than 20} R = {multiples of 4} S = {factors of 36} All of the above. RESULTS BOX:
 7. Which of the following accurately explains the meaning of the set listed below? { y  :  y ≤ -3 } The set of all y in such that y is any number greater than or equal to -3. The set of all y in such that y is any number less than or equal to -3. The set of all y in such that y is any number less than -3. None of the above. RESULTS BOX:
 8. Which of the following statements is true? A A' = A A' = Ø A' = {Students not in Mrs. Smith's class} All of the above. RESULTS BOX:
 9. If , then which of the following statement is true? A  B  Ø A All of the above. RESULTS BOX:
 10. If , then which of the following statement is true? A B = B A B = B A B = C All of the above. RESULTS BOX: