Here is the digraph for the relation $R$ on the set $\{1, 2, 3, 4\}$, where $(x, y) \in R$ if $x^2 \geq y$. The directed edges show the relationships between the elements based on the condition.

Would you like further details or have any questions about this digraph?

Here are 5 related questions you might find interesting:

1. How do you determine the reflexive, symmetric, and transitive properties of a relation from its digraph?
2. Can this relation be represented as a matrix? If so, how would it look?
3. How does this relation differ from other types, like strict inequalities?
4. How would the digraph change if the relation were based on $x^2 < y$?
5. How can you interpret the digraph of a relation geometrically or visually?

Tip: When analyzing digraphs, it’s often helpful to check for cycles or transitivity by tracing paths between nodes.