Practice 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. Which of the following is sets is shown with roster notation?
 
 
 { qis_an_element_of_transparent_1.gifz_small.gif | 4 ≤ q < 3 }
 G = {letters in the English alphabet}
 X = {red, blue, yellow}
 None of the above.

RESULTS BOX:
 

2. Which of the following is true about set D listed below?

D = {-3, -2, -1, 0, 1, 2, 3}
 

 
 -7 is_an_element_of_transparent_1.gif D
 negative2_is_element_of_d_1.gif
 D is an infinite set.
 All of the above.

RESULTS BOX:
 

3. Which of the following is an infinite set?
 
 
 { xis_an_element_of_transparent_1.gifn_small_1.gif : x  ≥ 2 and x ≤ 6  }
 A = {letters in the English alphabet}
 B = {Asia, Africa, North America, South America, Antarctica, Europe, Australia}
 C = {integers}

RESULTS BOX:
 

4. Which of the following sets is equal to the set listed below?

X = {2, 3, 5, 7, 11, 13, 17, 19}
 

 
 { xis_an_element_of_transparent_1.gifr_small_2.gif |  x  2 }
 Y = {prime numbers less than 20}
 Z = {odd numbers less than 20}
 All of the above.

RESULTS BOX:
 

5. Which of the following is not a subset of P?

P = {c, l, e, a, r}
 

 
 Q = {e, a, r}
 R = {r, e, a, l}
 S = {l, e, a, r, n}
 T = {c, a, r, e}

RESULTS BOX:
 

6. If A = {types of triangles} and B = {types of trapezoids}, then which of the following is the universal set?
 
 
 universe_bold_cropped_1.gif = {polygons}
 universe_bold_cropped_1.gif = {quadrilaterals}
 universe_bold_cropped_1.gif = {hexagons}
 All of the above.

RESULTS BOX:
 

7. Which of the following is the correct set-builder notation for the set listed below?

{-5, -4, -3, -2, -1, 0, 1, 2, 3, …}
 

 
 { Kis_an_element_of_transparent_1.gifn_small_1.gif | k > 5 }
 { qis_an_element_of_transparent_1.gifz_small.gif | q  5 }
 { xis_an_element_of_transparent_1.gifr_small_2.gif | x < 3 }
 All of the above.

RESULTS BOX:
 

8. In the Venn diagram below, If universe_bold_cropped_1.gif = {students who attend The Smart School}, then which of the following is the complement of set A?

practice_exercise8.png
 

 
 A’ = {students who do not attend The Smart School}
 A’ = {students who attend the Not So Smart School}
 A’ = {students who do not take the bus to school}
 None of the above.

RESULTS BOX:
 

9. Which of the following is represented by the shaded region in the Venn diagram below?

practice_exercise9.png
 

 
 union_cropped_1.gif Y
 intersection_cropped.gif Y
 X’
 All of the above.

RESULTS BOX:
 

10.   Which of the following is represented by the shaded region in the Venn diagram below?

practice_exercise10.png
 

 
 union_cropped_1.gif Y
 intersection_cropped.gif Y
 X’
 All of the above.

RESULTS BOX: