60 30 20 20 10 10 (iii) (iv) Figure 4: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 3 at the bottom; 6 is placed vertically above 3; 5 is placed to the right and little above 3; 10 is placed vertically above 5; 7 is placed to the right of 5 but little above 10; 30, 20, 10, and 60 are placed in a diamond together, and 60 is placed at the top. The vertical line segments between the elements are as follows: 3 and 6, 6 and 30, 5 and 10, and 7 and 14. The inclined line segments between the elements are as follows: 10 and 30, 10 and 20, 30 and 60, and 20 and 60. 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.

60 30 20 20 10 10 (iii) (iv) Figure 4: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 3 at the bottom; 6 is placed vertically above 3; 5 is placed to the right and little above 3; 10 is placed vertically above 5; 7 is placed to the right of 5 but little above 10; 30, 20, 10, and 60 are placed in a diamond together, and 60 is placed at the top. The vertical line segments between the elements are as follows: 3 and 6, 6 and 30, 5 and 10, and 7 and 14. The inclined line segments between the elements are as follows: 10 and 30, 10 and 20, 30 and 60, and 20 and 60. 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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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

60
30
20
20
10
10
(iii)
(iv)
Figure 4: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements
are arranged as follows: 3 at the bottom; 6 is placed vertically above 3; 5 is placed to the right and
little above 3; 10 is placed vertically above 5; 7 is placed to the right of 5 but little above 10; 30, 20,
10, and 60 are placed in a diamond together, and 60 is placed at the top. The vertical line segments
between the elements are as follows: 3 and 6, 6 and 30, 5 and 10, and 7 and 14. The inclined line
segments between the elements are as follows: 10 and 30, 10 and 20, 30 and 60, and 20 and 60.
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.

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