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R
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A LGEBRA AND TRIGONOMETRY
ELEVENTH EDITION
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Michael Sullivan
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ED
Chicago State University
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programs.
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Publishing as Pearson, 21 River Street, Hoboken, NJ 07030. All rights reserved
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ISBN-13: 978-0-13-519053-1
ISBN-10: 0-13-519053-3
,Ch. 0 Chapter R: Review
0.1 Real Numbers
1 Work with Sets
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7}, and C = {1, 4, 9} to find the set.
1) B ∪ C
A) {1, 2, 3, 4, 5, 7, 9} B) { } C) {0} D) {1, 2, 3, 5, 7, 9}
2) A ∪ C
A) {1, 2, 3, 4, 5, 8, 9} B) {4, 6, 7, 9} C) {1} D) {1, 2, 3, 5, 7, 9}
3) A ∩ B
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A) {2, 3, 5} B) {1, 2, 3, 5, 7, 8} C) {2, 3, 5, 7} D) {1, 2, 3, 5, 8}
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4) A ∩ C
A) {1} B) {1, 2, 3, 4, 5, 7, 8, 9}
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C) {4, 6, 7, 9} D) {1, 2, 3, 5, 7, 9}
5) (A ∩ B) ∪ C
A) {1, 2, 3, 4, 5, 9} B) {1, 2, 3, 5} C) {1, 2, 3} D) {2, 3, 5}
6) (B ∪ C) ∩ A
A) {1, 2, 3, 5} B) {1, 2, 3, 4, 5, 7, 9} IS C) { } D) {1, 2, 3}
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7) B
A) {0, 1, 4, 6, 8, 9} B) {1, 4, 6, 8, 9} C) {0, 1, 4, 6, 7, 8, 9} D) {0, 1, 4, 6, 9}
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8) A ∪ B
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A) {0, 4, 6, 9} B) {4, 6, 9} C) {1, 4, 6, 8, 9} D) {1, 2, 3, 5, 7, 8}
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9) A ∩ C
A) {0, 2, 3, 4, 5, 6, 7, 8, 9} B) {1}
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C) {1, 2, 3, 4, 5, 7, 8, 9} D) {1, 2, 3, 4, 5, 6, 7, 8, 9}
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10) B ∩ C
A) {0, 6, 8} B) {6, 8} C) {1, 2, 3, 4, 5, 7, 9} D) { }
2 Classify Numbers
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
List all the elements of B that belong to the given set.
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1) B = 8, 7, -23, 0, , - , 8.7
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Integers
A) {8, -23, 0} B) {8, 0} C) {8, -23} D) {8, 0, 7}
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2) B = 12, 8, -20, 0, , -4, 8.5
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Natural numbers
A) {12} B) 12, 0, - 4 C) {12, 0} D) {-20, 0, 12}
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3) B = 17, 6, -18, 0,
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Real numbers
0 0
A) 17, 6, -18, 0, B) {17, -18, 0} C) 17, -18, 0, D) 17, -18
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4) B = 8, 8, -8, 0, , 0.85
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Rational numbers
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0 0
A) 8, -8, 0, , 0.85 B) {8, 0} C) { 8} D) 8, , 0.85
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5) B = 10, 5, -14, 0, , 0.02
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Irrational numbers
A) { 5} B) { 5, 0.02}
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C) 5,
0
D) 5,
0
, 0.02
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6) B = {16, 6, -7, 0, , - , 5.1, 16π, 0.166166166...}
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Integers
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A) {16, -7, 0} B) {16, 0} C) {16, -7} D) {16, 0, 6}
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7) B = {6, 7, -19, 0, , -8, 7.1, 7π, 0.747474...}
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Natural numbers
A) {6} B) 6, 0, - 8 C) {6, 0} D) {-19, 0, 6}
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8) B = {9, 6, -11, 0, , 16, 0.17, -6π, 0.161616...}
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Rational numbers
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0 0
A) 9, -11, 0, , 16, 0.17, 0.161616... B) 9, -11, 0, , 0.17
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0 0
C) 9, -11, 0, , 0.17, 0.161616... D) 9, -11, 0, , 16, 0.17, -6π, 0.161616...
2 2
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9) B = {11, 8, -4, 0, , , 0.21, -8π, 0.444...}
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Irrational numbers
0
A) { 8 , -8π} B) { 8} C) 8, , -8π D) { 8, -8π, 0.444...}
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