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Summary of 45 pages for the course Mathematics at Mathematics (Maths help)
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Chapter 2 ExamName___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the set is well defined or not well defined.
1) The set of the best luggage 1)
A) not well defined B) well defined
2) The set of people who wear expensive jewlery 2)
A) well defined B) not well defined
3) The set of five countries in Europe having the smallest area 3)
A) not well defined B) well defined
4) The set of rivers that flow south to north 4)
A) not well defined B) well defined
5) The set of children in second grade at Maple Elementary School that are girls 5)
A) not well defined B) well defined
6) The set of children in fifth grade at Maple Elementary School that are artistic 6)
A) well defined B) not well defined
7) The set of U.S. state flags which display depictions of people 7)
A) not well defined B) well defined
8) The set of professional baseball players over the age of 37 8)
A) well defined B) not well defined
9) The set of birds nesting in trees at Elm Nature Center on March 1th, 2012 9)
A) not well defined B) well defined
10) The set of manufacturers of televisions that enjoyed sizeable profits in the fourth quarter of 2012 10)
A) not well defined B) well defined
Identify the set as finite or infinite.
11) {9, 10, 11, . . ., 36} 11)
A) Finite B) Infinite
1 1 1
12) {1, , , , . . .} 12)
3 9 27
A) Finite B) Infinite
13) {x|x is a fraction between 58 and 59} 13)
A) Finite B) Infinite
14) {2, 4, 6, 8, . . .} 14)
A) Finite B) Infinite
1
, 15) The set of odd whole numbers less than 100 15)
A) Finite B) Infinite
16) The set of odd numbers greater than 1000 16)
A) Finite B) Infinite
17) The set of multiples of 2 between 0 and 50 17)
A) Finite B) Infinite
18) The set of fractions that are less than 1 but greater than 0 18)
A) Finite B) Infinite
19) The set of people watching fireworks at Miller Park on July 4, 2012 at 9:45 P.M. 19)
A) Finite B) Infinite
20) The set of stars in the Milky Way Galaxy at 12:00 A.M. on January 1, 2012 20)
A) Infinite B) Finite
Express the set in roster form.
21) {x|x is a whole number between 6 and 10} 21)
A) {6, 7, 8, 9} B) {7, 8, 9} C) {6, 7, 8, 9, 10} D) {7, 8, 9, 10}
22) {x|x is an integer between 4 and 8} 22)
A) {4, 5, 6, 7, 8} B) {5, 6, 7, 8} C) {5, 6, 7} D) {4, 5, 6, 7}
23) {x|x is a negative multiple of 3} 23)
A) {-3, -9, -27, . . .} B) {3, 6, 9, . . .}
C) {0, -3, -6, . . .} D) {-3, -6, -9, . . .}
24) {x|x is an integer greater than -6} 24)
A) {-7, -8, -9, . . .} B) {-7, -8, -9} C) {-5, -4, -3, . . .} D) {-5, -4, -3, -2}
25) The set of all whole numbers greater than 5 and less than 9 25)
A) {5, 6, 7, 8, 9} B) {5, 6, 7, 8} C) {6, 7, 8, 9} D) {6, 7, 8}
26) {x|x is a natural number multiple of 4} 26)
A) {8, 12, 16, . . .} B) {0, 4, 8, 12,. . .} C) ∅ D) {4, 8, 12, . . .}
27) {x|x is a natural number less than -2} 27)
A) {-1, 0, 1,. . .} B) {. . ., -5, -4, -3} C) {-3, -4, -5, . . .} D) ∅
28) The set of integers greater than 6 and less than 10 28)
A) {6, 7, 8, 9, 10} B) {6, 7, 8, 9} C) {7, 8, 9, 10} D) {7, 8, 9}
29) The set of seasons in a year 29)
A) {winter, spring, summer, fall} B) {cold, warm, hot, cool}
C) {winter, summer} D) {January, March, June, September}
2
, 30) The set of the days of the week 30)
A) {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
B) {Tuesday, Thursday}
C) {Saturday, Sunday}
D) {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Sunday}
Solve the problem.
31) Use the following table, which shows the average price for a new beverage that is served at a 31)
coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
in roster form.
Region Price
A $7.87
B $6.51
C $6.38
D $5.70
E $4.67
F $3.58
G $3.27
H $2.53
K $2.49
L $1.62
The set of regions in which the average price for the new beverage is more than $5.00.
A) {A, B, C} B) {A, B, C, D, E}
C) {A, B, C, D} D) {E, F, G, H, K, L}
32) Use the following table, which shows the average price for a new beverage that is served at a 32)
coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
in roster form.
Region Price
A $7.02
B $6.63
C $6.07
D $5.94
E $4.40
F $3.72
G $3.38
H $2.62
K $2.30
L $1.50
The set of regions in which the average price for the new beverage is less than $3.50.
A) {H, K, L} B) {G, H, K, L}
C) {F, G, H, K, L} D) {A, B, C, D, E, F}
3
, 33) Use the following table, which shows the average price for a new beverage that is served at a 33)
coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
in roster form.
Region Price
A $7.06
B $6.68
C $6.02
D $5.79
E $4.70
F $3.96
G $3.39
H $2.78
K $2.25
L $1.93
The set of regions in which the average price for the new beverage is between $3.00 and $4.99.
A) {E, F, G} B) {A, B, C, D, H, K, L}
C) {H, K, L} D) {E, F, G, H}
34) Use the following table, which shows the average price for a new beverage that is served at a 34)
coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
in roster form.
Region Price
A $7.06
B $6.77
C $6.26
D $5.96
E $4.02
F $3.71
G $3.12
H $2.76
K $2.19
L $1.92
{x|x is a region in which the average price of the new beverage is at least $6.00}
A) {A, B} B) {D, E, F, G, H, K, L}
C) {A, B, C, D} D) {A, B, C}
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