# Challenge Exercises on Sets

 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: