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30 14 20 10 5 Figure 5: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 5, 10, 20, 30, and 60 are arranged vertically one above another, connected by vertical line segments; 3 and 6 are arranged vertically one above another, to the right of 10 and 20, respectively, connected by a vertical line segment; an inclined line segment connects 30 and 6; and 7 and 14 are placed to the left of 10 and 20, respectively, connected by a vertical line segment. 3.

30 14 20 10 5 Figure 5: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 5, 10, 20, 30, and 60 are arranged vertically one above another, connected by vertical line segments; 3 and 6 are arranged vertically one above another, to the right of 10 and 20, respectively, connected by a vertical line segment; an inclined line segment connects 30 and 6; and 7 and 14 are placed to the left of 10 and 20, respectively, connected by a vertical line segment. 3.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Consider the partial order with domain {3,5,6,7,10,14,20,30,60} and with x≤ y if x evenly divides y. Select the correct Hasse diagram for the partial order.

30 14 20 10 5 Figure 5: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 5, 10, 20, 30, and 60 are arranged vertically one above another, connected by vertical line segments; 3 and 6 are arranged vertically one above another, to the right of 10 and 20, respectively, connected by a vertical line segment; an inclined line segment connects 30 and 6; and 7 and 14 are placed to the left of 10 and 20, respectively, connected by a vertical line segment. 3.
Transcribed Image Text:30 14 20 10 5 Figure 5: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 5, 10, 20, 30, and 60 are arranged vertically one above another, connected by vertical line segments; 3 and 6 are arranged vertically one above another, to the right of 10 and 20, respectively, connected by a vertical line segment; an inclined line segment connects 30 and 6; and 7 and 14 are placed to the left of 10 and 20, respectively, connected by a vertical line segment. 3.
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