Consider the infinite set S = {-56, –48, –40, – 32, –24, – 16, –8, 24, 32, 40, 48, 56, 64, 72, 80, ...} and note that this set contains – 56, –48, –40, – 32, –24, –16, –8 and all values obtained by multiplying 8 with an integer larger than 3. Recalling that Z+ is used to denote the set of all positive integers, which of the following statements is true? Select one: O IS| = |Z+| – 3 O IS = ( + 7) – 3 O |S = + 3) – 7 O |S| = 21 -7 O |S| = |Z+|+7 O IS| = |Z+| O none of these options

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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Consider the infinite set S = {-56, –48, –40, – 32, –24, –16, –8, 24, 32, 40, 48, 56, 64, 72, 80, . } and note that this set contains – 56, –48, –40, –32, –24, –16, –8 and all values
obtained by multiplying 8 with an integer larger than 3.
Recalling that Z+ is used to denote the set of all positive integers, which of the following statements is true?
Select one:
O |S| = |Z+| – 3
O IS| = (+ 7) – 3
O |S| = (1 + 3) – 7
O IS =
Z*|
7
O |S| = |Z+| +7
O |S| = |Z+|
none of these options
Transcribed Image Text:Consider the infinite set S = {-56, –48, –40, – 32, –24, –16, –8, 24, 32, 40, 48, 56, 64, 72, 80, . } and note that this set contains – 56, –48, –40, –32, –24, –16, –8 and all values obtained by multiplying 8 with an integer larger than 3. Recalling that Z+ is used to denote the set of all positive integers, which of the following statements is true? Select one: O |S| = |Z+| – 3 O IS| = (+ 7) – 3 O |S| = (1 + 3) – 7 O IS = Z*| 7 O |S| = |Z+| +7 O |S| = |Z+| none of these options
To which value would the following expression reduce if the universe of discourse is the set of positive integers between 1 and 12 (inclusive), and if the contents of sets A, B, C, and D were {2, 4, 5,
8, 9, 11, 12}, {3, 4, 5, 6, 7, 8, 11, 12}, {2, 4, 5, 6, 7, 8, 10, 11, 12}, and {1, 3, 4, 5, 7, 8, 9, 11, 12}, respectively?
(((D\C) \ ((BU (A))))
Select one:
O {4, 5, 6, 7, 8, 9, 11, 12}
O {1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12}
O {2, 4, 5, 7, 8, 9, 10, 11}
O {2, 4, 5, 6, 7, 9, 10, 11, 12}
O {2, 4, 5, 6, 7, 8, 9}
O {2, 4, 5, 6, 8, 9, 10, 11, 12}
O none of these options
O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
O {2, 4, 5, 6, 7, 8, 9, 10, 11, 12}
O {5, 6, 7, 9, 10, 11, 12}
Transcribed Image Text:To which value would the following expression reduce if the universe of discourse is the set of positive integers between 1 and 12 (inclusive), and if the contents of sets A, B, C, and D were {2, 4, 5, 8, 9, 11, 12}, {3, 4, 5, 6, 7, 8, 11, 12}, {2, 4, 5, 6, 7, 8, 10, 11, 12}, and {1, 3, 4, 5, 7, 8, 9, 11, 12}, respectively? (((D\C) \ ((BU (A)))) Select one: O {4, 5, 6, 7, 8, 9, 11, 12} O {1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12} O {2, 4, 5, 7, 8, 9, 10, 11} O {2, 4, 5, 6, 7, 9, 10, 11, 12} O {2, 4, 5, 6, 7, 8, 9} O {2, 4, 5, 6, 8, 9, 10, 11, 12} O none of these options O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} O {2, 4, 5, 6, 7, 8, 9, 10, 11, 12} O {5, 6, 7, 9, 10, 11, 12}
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