The figure below is a Hasse diagram for a partial order The diagram represents a Hasse diagram, which is a type of mathematical graph used to illustrate the relationships between elements in a partially ordered set. The elements in this set are represented as points and are labeled A, B, C, D, E, F, and G. The lines connecting these points indicate the order relation, showing which elements are comparable.**Questions:**(a) List all elements that are **not** comparable with F.(b) List all elements that are **not** comparable with G.(c) List all elements that are **not** comparable with A.### Explanation:- **Comparability**: Two elements are comparable if there is a path of lines directly connecting them in the diagram.- **Non-comparable elements**: Elements that do not have a direct path of connection in the diagram.Answer these questions by examining the Hasse diagram for each specific point (F, G, and A) and identifying the elements with which they are not directly connected.

Hasse Diagram:- A Hasse diagram is a graphical representation of the relationships between pairs of elements in a partially ordered set (poset). The elements are represented as points on a horizontal line, with the relationship between any two elements indicated by drawing a line connecting them.Solution:- a) Only 'D' is not comparable with 'F' because neither F < D nor D < F b) List of elements that are not comparable with 'G' = {D, C, B} Because neither G < D nor D < G neither G < C not C < G neither G < B nor B < G c) Every element is comparable with A fact A is the maximal element here, i.e x < A ∀ x ∈ {B, C, D, E, F, G} So, the list is empty here