Let be a partial order on A. Recall that an immediate successor of a ∈ A is an element c such that (i) a c, and (ii) there is no b ∈/ {a, c} such that a b and b c. In this case a is said to be an...

Let be a partial order on A. Recall that an immediate successor of a ∈ A is an element c such that (i) a c, and (ii) there is no b ∈/ {a, c} such that a b and b c. In this case a is said to be an immediate predecessor of c.

1 For the partial order ≥ on Z≥1

, identify all the immediate predecessor(s) and immediate successor(s) of 202.

2 For the partial order | (divides) on Z≥1 , identify all the immediate predecessor(s) and immediate successor(s) of 202.