Every linear relationship on a finite number of elements also defines a hierarchy where the first item is the root node and subsequent items are...

Every linear relationship on a finite number of elements also defines a hierarchy where the first item is the root node and subsequent items are children of the previous entry. For each pair, enter the most appropriate word "Every", "Not Every", and "No".

weak ordering defines a linear ordering.

hierarchical ordering defines an adjacency relation.

weak ordering defines an equivalence relation.

hierarchical relation defines an equivalence relation.

linear order defines an equivalence relation.

linear ordering defines a weak ordering.