Exam 2: Sets
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Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27
Contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12
Contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained
All three items. How many backpacks contained exactly one of the three writing instruments?
(Multiple Choice)
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(60)
Let
= {5, 10, 15, 20, 25, 30, 35, 40}
= {5, 10, 15, 20}
= {25, 30, 35, 40}
= {10, 20, 30, 40}.
Find
).
(Multiple Choice)
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Find the general term of the set. {9, 12, 15, 18, 21, . . .}
(Multiple Choice)
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Let
= {1, 2, 3, . . . }
= {4, 8, 12, 16, . . . }
= {12, 24, 36, 48, . . . }. 
(Multiple Choice)
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Let U = {5, 10, 15, 20, 25, 30, 35, 40}
= {5, 10, 15, 20}
= {25, 30, 35, 40}
= {10, 20, 30, 40}. 
(Multiple Choice)
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Let U = {8, 16, 24, 32, 40, 48, 56, 64} and A = {24, 32, 40, 56}. 
(Multiple Choice)
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Write the set using roster notation:
The set of even natural numbers less than 10.
(Multiple Choice)
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Classify each pair of sets as equal, equivalent, or neither.
{a, b, c, d, e} and {5, 4, 3, 2, 1}
(Multiple Choice)
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Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27
Contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12
Contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained
All three items. How many backpacks contained none of the three writing instruments?
(Multiple Choice)
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