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 is_not_an_element_of_transparent_0.gif C
 –2 is_an_element_of_transparent_1.gif C
 C is an infinite set.
 All of the above.

RESULTS BOX:
 
3. Which of the following is a finite set?
 
 
 r_small_2.gif
 { x is_an_element_of_transparent_1.gifn_small_1.gif : 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?

 { nis_an_element_of_transparent_1.gifz_small.gif | –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 universe_bold_cropped_1.gif = {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 universe_bold_cropped_1.gif?
 
 
 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 is_an_element_of_transparent_1.gifr_small.gif :  y ≤ –3 }
 
 
 The set of all y in r_small.gif such that y is any number greater than or equal to –3.
 The set of all y in r_small.gif such that y is any number less than or equal to –3.
 The set of all y in r_small.gif such that y is any number less than –3.
 None of the above.

RESULTS BOX:
 
8. Which of the following statements is true?

challenge_exercise8.png
 
 
 A union_cropped_1.gif A’ = universe_bold_cropped_1.gif
 A intersection_cropped.gif A’ = Ø
 A’ = {Students not in Mrs. Smith’s class}
 All of the above.

RESULTS BOX:
 
9. If a-subset-b-cropped_transparent.gif, then which of the following statement is true?
 
 
 A is_a_subset_of-small_transparent_1.gif universe_bold_cropped_1.gif
 B is_a_subset_of-small_transparent_1.gif universe_bold_cropped_1.gif
 Ø is_a_subset_of-small_transparent_1.gif A
 All of the above.

RESULTS BOX:
 
10.   If a-subset-b-cropped_transparent.gif, then which of the following statement is true?
 
 
 A intersection_cropped.gif B = B
 A union_cropped_1.gif B = B
 A intersection_cropped.gif B = C
 All of the above.

RESULTS BOX: