1. Let S = (0,7) U {7 +1³,... Define < on 5 by a

Suppose poset (A, R), where A = {1, 2, 3, 4, 6, 8. 9. 12, 16, 18, 32, 36} and the relation R runs outdivide. Answer the following questions:a. Draw a Hasse Diagram for the poset (A, R)b. Find the upper limit of {6, 9}c. Supremum of {6, 9}

4   1. Define the relation | on N\{0, 1} by a | b precisely when a divides evenly into b.   (b) Identify all maximum, minimum, maximal, and minimal elements of |. Prove your result. Note that we are excluding 0 and 1 from the numbers we are considering for the relation.   I need help finding the maximum and minimum, maximal and minimal. Thank you

Let f {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} → {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be defined by f(x) = 2x if x 6. Select all the elements of f({5,6}). 01 3 2 4 Select all the elements of f-¹({5,6}). 3 04 Select all the elements of ƒ−¹(ƒ({5,6})). 3 04 2 Select all the elements of ƒ(ƒ¯¹({5,6})). 01 3 04 5 5 06 6 07 07 07 07 U O 8 8 8 8 9 9 9 ✔10 10 10 10