Draw the Hasse diagram for the divisibility relation on the

Draw the Hasse diagram for the divisibility relation on the set {1, 2, 3, 4.6.12, 15, 24, 45}. Use the diagram to identify the maximal and minimal elements; then determine the greatest and least elements, if they exist.

Solution

                                   24

                                   12

   

             4                                        6                                    45

                                                                         15

               2                                        3                         

                                   1

sorry but my MS-WORD not responding so icant draw properly.only above numbers joined by line then dia. completed means line draw 1 to 2, 2to4 ,4 to 12 ,12 to 24.also 1 to 3 ,3 to 6, 6 to12.& 3 to5 , 5 to45

minimal element -1

maximal element-24 &45

least element-1

There no gratest element