Exam 2: Sets

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Show that the set is an infinite set. Show that the set is an infinite set.

(Essay)
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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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Let Let   = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}. Find   ). = {5, 10, 15, 20, 25, 30, 35, 40} Let   = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}. Find   ). = {5, 10, 15, 20} Let   = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}. Find   ). = {25, 30, 35, 40} Let   = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}. Find   ). = {10, 20, 30, 40}. Find 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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Which set is infinite?

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The general term of the set The general term of the set   is . is .

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Find the general term of the set. {9, 12, 15, 18, 21, . . .}

(Multiple Choice)
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Which set is infinite?

(Multiple Choice)
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Which statement is false?

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Let Let   = {1, 2, 3, . . . }   = {4, 8, 12, 16, . . . }   = {12, 24, 36, 48, . . . }.  = {1, 2, 3, . . . } Let   = {1, 2, 3, . . . }   = {4, 8, 12, 16, . . . }   = {12, 24, 36, 48, . . . }.  = {4, 8, 12, 16, . . . } Let   = {1, 2, 3, . . . }   = {4, 8, 12, 16, . . . }   = {12, 24, 36, 48, . . . }.  = {12, 24, 36, 48, . . . }. Let   = {1, 2, 3, . . . }   = {4, 8, 12, 16, . . . }   = {12, 24, 36, 48, . . . }.

(Multiple Choice)
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Show that the set is an infinite set. {6, 12, 18, 24, 30, . . .}

(Essay)
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Draw a Venn diagram and shade the sections representing Draw a Venn diagram and shade the sections representing   . .

(Multiple Choice)
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Determine whether the two sets are equal. Determine whether the two sets are equal.

(Multiple Choice)
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Let U = {5, 10, 15, 20, 25, 30, 35, 40} Let U = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}.  = {5, 10, 15, 20} Let U = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}.  = {25, 30, 35, 40} Let U = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}.  = {10, 20, 30, 40}. 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}. 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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Draw a Venn diagram and shade the sections representing Draw a Venn diagram and shade the sections representing

(Essay)
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Determine whether the two sets are equal. Determine whether the two sets are equal.

(Short Answer)
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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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{4} {4}   {2, 4, 6, 8, 10, . . . } {2, 4, 6, 8, 10, . . . }

(True/False)
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