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Section 2.1
Determine whether the set is well defined or not well defined.
1) The set of the best luggage
1)
2) Finite or infinite: {x|x is a fraction between 84 and 85}
2)
3) Finite or infinite: The set of odd whole numbers less than 100
3)
4) Write in roster form: {x|x is a whole number between 1 and 5}
4)
5) Write in roster form: {x|x is an integer greater than -6}
5)
6) Write the set in set-builder notation: {24, 30, 36, 42,..., 84}
6)
7) Write a description of: S = {4, 8, 12, 16, 20, . . .}
7)
8) True or False: 5
8)
{10, 15, 20, 25, 30}
9) True or False: {4, 10, 12} = {0, 4, 10, 12}
10) True or False: 17
9)
10)
{16, 14, 13, . . ., 1}
11) Find n(A) for: A = {6, 8, 10, 12, 14}
11)
12) Find n(A) for: A = {x | x is a month in the year}
12)
Determine whether the sets are equal, equivalent, both, or neither.
13) {63, 18, 100} and {18, 100, 63}
13)
14) {L, M, N, O} and {l, m, n, o}
14)
15) {2, 15} and {2, 1, 5}
15)
1
Answer Key
Testname: SECTION 2-1
not well defined
2) Infinite
3) Finite
4) {2, 3, 4}
5) {-5, -4, -3, . . .}
6) {x | x is a multiple of 6 between 18 and 90}
7) Set S is the set of natural numbers that are multiples of 4.
8) False; 5 is not an element of the set.
9) False; 0 must be an element of both sets.
10) True
11) n(A) = 5
12) n(A) = 12
13) Both
14) Equivalent
15) Neither
1)
2
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