Discrete mathematics - I am unable to solve this problem, I am stuck on where to begin.
*Course Hero 6 MAT 230 Exam Two - Online LaTe X X C D A overleaf.com/project/5f83ac7667af360001bde610 9 GST # lli Apps M Gmail YouTube 9 Maps Translate P Parchment Exchang. 6 Menu MAT 230 Exam Two Ab Review Share Submit History Chat Source Rich Text & Recompile Figure 2.png PROBLEM 2 Figure 3.png This question has 2 parts. Part 1: The drawing below shows a Hasse diagram for a partial order on the set: Figure 4.png % AMS-LaTex Paper [A, B, C, D, E, F, G, HI, I, J} Figure 5.png G Figure 6.png J Figure 7.png H Figure 8.png Figure 9.png %\\documentclass { amsar hass.png % \\usepackage{txfonts} i main.tex 6 *\\documentclass [12pt, Figure 1: A Hasse diagram shows 10 vertices and 8 edges. The vertices, represented by dots, are as oneside] {article} follows: verter J is upward of verter HI; verter II is upward of verter I; verter B is inclined upward to New Hasse.PNG \\documentclass { amsart the left of verter A; verter C is upward of verter B; verter Dis inclined upward to the right of verter C; verter E is inclined upward to the left of verter F; verter G is inclined upward to the right of verter prim.png 8 \\usepackage {graphicx} E. The edges, represented by line segments between the vertices are as follows: 3 vertical edges connect snhu_logo.png 9 \\usepackage{enumitem} the following vertices: B and C, II and I, and II and J; 5 inclined edges connect the following vertices: A and B, C and D, D and E, E and F, and E and G. Determine the properties of the Hasse diagram based on the following questions: (a) What are the minimal elements of the partial order? 11 \\vfuzz2pt % Don't report over-full v-boxes if over-edge is small (b) What are the maximal elements of the partial order? 12 \\hfuzz2pt % Don't report over-full h-boxes if over-edge is small v File outline i 13 % THEOREMS (c) Which of the following pairs are comparable? (A, D), (J, F), (B, E), (G, F), (D, B), (C, F), (HI, I), (C, E) Problem 1 Part 1: Part 2: 14 newtheor em { thm} { Theo Problem 2 rem} [section] Part 1: newtheor em { cor } [thm] Part 2: [Corollary} 16 newtheor em { 1em} [thm] Problem 3 {Lemma} Problem 4 17 newtheor em {prop} [thm Problem 5 {Proposition} 18 \\theor emstyle{definit Problem 6 1on}*Course Hero 6 MAT 230 Exam Two - Online LaTe X X C D A overleaf.com/project/5f83ac7667af360001bde610 9 GS 1# lli Apps M Gmail YouTube 9 Maps Translate P Parchment Exchang. 6 Menu MAT 230 Exam Two Ab Review Share Submit History Chat Source Rich Text & Recompile Figure 2.png Part 2: Consider the partial order with domain {3, 5, 6, 7, 10, 14, 20, 30, 60, 70} and with a S y if Figure 3.png r evenly divides y. Select the correct Hasse diagram for the partial order. Figure 4.png % AMS-LaTex Paper 60 70 Figure 5.png Figure 6.png Figure 7.png 30 Figure 8.png 20 14 Figure 9.png %\\documentclass { amsar hass.png % \\usepackage{txfonts} i main.tex 6 *\\documentclass [12pt, 6 oneside] {article} New Hasse.PNG \\documentclass { amsart 3 5 prim.png 8 \\usepackage {graphicx} (a snhu_logo.png 9 \\usepackage{enumitem} Figure 2: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70. There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 20, 20 and 60, 10 and 70, 7 and 14, 14 and 70. 11 \\vfuzz2pt % Don't report over-full v-boxes if over-edge is small 12 \\hfuzz2pt % Don't report over-full h-boxes if over-edge is small v File outline i 13 % THEOREMS Problem 1 Part 1: Part 2: 14 newtheor em { thm} { Theo Problem 2 rem} [section] Part 1: newtheor em { cor } [thm] Part 2: [Corollary} 16 newtheor em { 1em} [thm] Problem 3 {Lemma} Problem 4 17 newtheor em {prop} [thm Problem 5 {Proposition} 18 \\theor emstyle{definit Problem 6 1on}*Course Hero 6 MAT 230 Exam Two - Online LaTe X X C D A overleaf.com/project/5f83ac7667af360001bde610 9 GST # lli Apps M Gmail YouTube 9 Maps Translate P Parchment Exchang. 6 Menu MAT 230 Exam Two Ab Review Share Submit History Chat Source Rich Text & Recompile Figure 2.png Figure 3.png 60 70 Figure 4.png % AMS-LaTex Paper Figure 5.png Figure 6.png 30 Figure 7.png 20 14 Figure 8.png Figure 9.png %\\documentclass { amsar 6 10 hass.png % \\usepackage{txfonts} i main.tex 6 *\\documentclass [12pt, oneside] {article} 3 5 New Hasse.PNG \\documentclass { amsart (b prim.png 8 \\usepackage {graphicx} Figure 3: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70. snhu_logo.png 9 \\usepackage{enumitem} There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20 and 60, 10 and 70, 7 and 14, 14 and 70. 11 \\vfuzz2pt % Don't report over-full v-boxes if over-edge is small 12 \\hfuzz2pt % Don't report over-full h-boxes if over-edge is small v File outline i 13 % THEOREMS Problem 1 Part 1: Part 2: 14 newtheor em { thm} { Theo Problem 2 rem} [section] Part 1: newtheor em { cor } [thm] Part 2: [Corollary} 16 newtheor em { 1em} [thm] Problem 3 {Lemma} Problem 4 17 newtheor em {prop} [thm Problem 5 {Proposition} 18 \\theor emstyle{definit Problem 6 1on}*Course Hero 6 MAT 230 Exam Two - Online LaTe X X C D A overleaf.com/project/5f83ac7667af360001bde610 9 GST # lli Apps M Gmail YouTube 9 Maps Translate P Parchment Exchang.. 6 Menu MAT 230 Exam Two Ab Review Share Submit History Chat Source Rich Text & Recompile Figure 2.png Figure 3.png 60 70 Figure 4.png % AMS-LaTex Paper Figure 5.png Figure 6.png 30 Figure 7.png 20 14 Figure 8.png Figure 9.png %\\documentclass { amsar 6 10 hass.png % \\usepackage{txfonts} 6 i main.tex *\\documentclass [12pt, oneside] {article} 3 5 New Hasse.PNG \\documentclass { amsart (c prim.png \\usepackage {graphicx} Figure 4: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70. 8 9 \\usepackage{enumitem} There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20 snhu_logo.png and 60, 20 and 70, 7 and 14, 14 and 70. 11 \\vfuzz2pt % Don't report over-full v-boxes if over-edge is small 12 \\hfuzz2pt % Don't report over-full h-boxes if over-edge is small v File outline i 13 % THEOREMS Problem 1 Part 1: Part 2: 14 newtheor em { thm} { Theo Problem 2 rem} [section] Part 1: newtheor em { cor } [thm] Part 2: [Corollary} 16 newtheor em { 1em} [thm] Problem 3 {Lemma} Problem 4 17 newtheor em {prop} [thm Problem 5 {Proposition} 18 \\theor emstyle{definit Problem 6 1on}*Course Hero 6 MAT 230 Exam Two - Online LaTe X X C D A overleaf.com/project/5f83ac7667af360001bde610 9 GST # lli Apps M Gmail YouTube 9 Maps Translate P Parchment Exchang.. 6 Menu MAT 230 Exam Two Ab Review Share Submit History Chat Source Rich Text & Recompile Figure 2.png Figure 3.png 60 70 Figure 4.png % AMS-LaTex Paper Figure 5.png 30 Figure 6.png Figure 7.png 20 14 Figure 8.png Figure 9.png %\\documentclass { amsar 6 hass.png % \\usepackage{txfonts} i main.tex 6 *\\documentclass [12pt, oneside] {article} 3 5 (d) New Hasse.PNG \\documentclass { amsart prim.png \\usepackage {graphicx} Figure 5: A Hasse diagram shows a set of elements 3; 5; 6; 7; 10; 14; 20; 30; 60, 70. 8 snhu_logo.png 9 \\usepackage{enumitem} There are lines connecting 3 and 6, 6 and 30, 30 and 60, 5 and 10, 10 and 30, 10 and 20, 20 and 30, 20 and 60, 10 and 70, 7 and 14, 14 and 70. 11 \\vfuzz2pt % Don't report over-full v-boxes if over-edge is small 12 \\hfuzz2pt % Don't report over-full h-boxes if over-edge is small v File outline i 13 % THEOREMS Problem 1 Part 1: Part 2: 14 newtheor em { thm} { Theo Problem 2 rem} [section] Part 1: newtheor em { cor } [thm] Part 2: [Corollary} 16 newtheor em { 1em} [thm] Problem 3 {Lemma} Problem 4 17 newtheor em {prop} [thm Problem 5 {Proposition} 18 \\theor emstyle{definit Problem 6 1on}
