MATH 105 Loyola Marymount University Compound Statement Mathematics Worksheet

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QUIZ 4 (2.1/2.2)
MATH 105
Name____________________________________________
Section_______________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
List the elements in the set.
1) { x x is an even integer smaller than 8}
A) {0, 2, 4, 6}
C) {…, -6, -4, -2, 2, 4, 6}
B) {2, 4, 6}
D) {…, -6, -4, -2, 0, 2, 4, 6}
Write the set in set-builder notation.
2) {…, -3, -2, -1, 0, 1, 2, 3, …}
A) {-3, -2, -1, 0, 1, 2, 3}
C) {x | x is any integer greater than -3}
B) {x | x is an integer}
D) {x | x is a natural number}
1)
3) {2, 4, 6, 8}
A) {x | x is any even natural number}
B) {x | x is any even integer less than 10}
C) {2, 4, 6, 8}
D) {x | x is an even natural number less than 10}
3)
Identify the set as finite or infinite.
4) {x | x is a prime number}
A) Infinite
B) n(A) = 10
C) n(A) = 5
D) n(A) = 3
C) n(A) = 6301
D) n(A) = 6300
Complete the blank with either or to make the statement true.
8) -2 {2, 4, 6, …, 14}
A)
B)
A)
5)
B) Infinite
7) A = {700, 701, 702, …, 7000}
A) n(A) = 7000
B) n(A) = 4
9) -3
4)
B) Finite
5) {8, 9, 10, …, 32}
A) Finite
Find n(A) for the set.
6) A = {5, 5, 6, 6, …, 9, 9}
A) n(A) = 6
2)
{-2 + 5, -4 + 5, -6 + 5, -8 + 5}
B)
Tell whether the statement is true or false.
10) {8} = {x | x is an even counting number between 10 and 16}
A) True
B) False
11) {s, q, y, o, d} = {o, d, q, s, y}
A) True
B) False
1
6)
7)
8)
9)
10)
11)
Use or in the blank to make a true statement.
12) {3, 5, 7}
{2, 3, 4, 5, 7}
A)
13) {11, 13, 15}
A)
12)
B)
{x | x is an odd counting number}
13)
B)
Determine whether the statement is true or false.
Let A = {1, 3, 5, 7}
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}
14) C D
A) True
14)
B) False
15) A {7, 5, 3, 1}
A) True
15)
B) False
Find the number of subsets of the set.
16) {x | x is an even number between 11 and 27}
A) 7
B) 128
C) 256
D) 53
Find the number of proper subsets of the set.
17) {x | x is a day of the week}
A) 64
B) 256
C) 128
D) 127
Let U = {1, 2, 4, 5, a, b, c, d, e}. Find the complement of the set.
18) Q = {2, 4, b, d}
A) {1, 3, 5, a, c, e}
C) {1, 2, 4, 5, a, b, c, d, e}
B) {1, 5, a, e}
D) {1, 5, a, c, e}
19) T = U
A) T
B)
C) {U – T’}
Solve the problem.
20) List all possible proper subsets of the set {2, 6, 7}.
A) , {2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}, {2, 6, 7}
C) {2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}, {2, 6, 7}
17)
18)
D) U
B) {2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}
D) , {2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}
2
16)
19)
20)

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