Express the set {all letters in the word “mathematics”} in list form

Express the set {all letters in the word “mathematics”} in list form

{ m, a, t, h, e, i, c, s}

{m, a, t, h, e, m, a, t, i, c, s}

{a, b, c, d, e, … , x, y, z}

None of the above

Comments:

Question 2. Question :

Determine the Universal set for B = {U.S. Presidents who are members of the Democratic Party}

U = {All U.S. Presidents}

U = {Clinton, Kennedy, Obama, Truman}

U = {All U.S. citizens over the age of 35}

Cannot determine because the set is not well defined.

Comments:

Question 3. Question :

Write a description of the set {April, August}

M = {months that have more than 4 letters}

M = {months that begin with the letter A}

M = {months of the year}

M = {the sixth and seventh months of the year}

Comments:

Question 4. Question :

Write the set {Red, Blue, Black, Yellow, Green} in word description notation

C = {colors on the Irish flag}

C = {colors on the United Nations flag}

C = {colors of the Olympic Rings}

None of the above

Comments:

Question 5. Question :

How do you read this: 65 ? {x | x < 100}

65 is a member of the set containing all values x such that x is less than 100

65 is in the set of all values x less than 100

65 is a member of all values x less than 100

None of the above

Comments:

Question 6. Question :

Find the Cardinal number n(A) for the set A such that A = {x | n is the number of faces on a fair dice}

n(A) = 3

n(A) = 24

n(A) = 12

None of the above

Comments:

Question 7. Question :

Given U = {the days of the week} and M = {Monday, Wednesday, Friday}, determine M’.

M’ = {Tuesday, Thursday, Saturday, Sunday}

M’ = {Monday, Tuesday, Wednesday, Thursday, Friday}

M’ = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

None of the above

Comments:

Question 8. Question :

Given A = {2, 5, 9} and B = {1,3, 5, 6,7}, and U = {1,2,3,4,5,6,7,8,} find (A ? B)

(A ? B) = {1,2,3,5,6,7,9}

(A ? B) = {4,8}

(A ? B) = {1, 2,3,4,6,7,8,9}

(A ? B) = {5}

Comments:

Question 9. Question :

Let U = {q, r, s, t, u, v, w, x, y, z}, A = {q, s, u, w, y}, B = {q, s, y, z}. List the

elements in the set (A ? B)’

{s, u, w}

{r, t, v, x}

{t, r, x}

{q, s, t, u, v, w, x, y}

Comments:

Question 10. Question :

Let U = {q, r, s, t, u, v, w, x, y, z}, A = {q, s, u, w, y}, B = {q, s, y, z}, C = {v, w, x, y, z}. List the

elements in the set A ? (B ? C)

{q, s, w, y}

{q, s, u, w, y, z}

{q, y, z}

{q, r, w, y, z}

Comments:

Question 11. Question :

Use Venn diagrams to determine whether (A’ UNION B)’ and A INTERSECTION B’ are equal for all sets A and

B

Equal

Not Equal

cannot be determined

Comments:

Question 12. Question :

Which of the following does the colored section of this Venn diagram represent?

A ? B

A

B

none of the above

Comments:

Question 13. Question :

Which Venn diagram represents (A UNION B) INTERSECTION C ?

none of the above

Comments:

Question 14. Question :

A survey of a group of 111 tourists was taken in St. Louis. The survey showed the following: 63 of the tourists plan to visit Gateway Arch; 40 plan to visit the art museum; 10 plan to visit the Art Museum and the zoo, but not the gateway Arch; 13 plan to visit the Art Museum and the Gateway Arch, but not the zoo; 17 plan to visit the Gateway Arch and the zoo, but not the Art Museum; 6 plan to visit the Art Museum, the zoo, and the Gateway Arch; and 15 plan to visit none of the three places. How many plan to visit the Zoo only

12

45

26

none of the above

Comments:

Question 15. Question :

A survey of 121 college students was done to find out what elective courses they were taking. Let A = the set of those taking art, B = the set of those taking basket weaving, and C = the set of those taking canoeing. The study revealed the following information.

n(A) = 45

n(B) = 55

n(C) = 40

n(A INTERSECTION B) = 12

n(A INTERSECTION C) = 15

n(B INTERSECTION C) = 23

n(A INTERSECTION B INTERSECTION C) = 2

How many students were not taking any of these electives?

10

29

39

none of the above

Comments: