The King says he has never “left the hall of great Danes for any man to keep.” What can you infer about his feelings toward his kingdom?

From King Hrothgar's statement that he had never "left the hall of great Danes for any man to keep," he shows the depth of his sense of responsibility and love towards his people and the kingdom.

This is a King who is much more interested in serving his people than receiving service from his people.  He had employed all within his powers to eliminate Grendel from the Danes.

By making the statement, the King hoped that Beowulf's readiness to tackle Grendel would be successful.  Beowulf proves with his valor, loyalty, and achievements that the King had not made a wrong decision by granting him the opportunity to battle Grendel.

Thus, Hrothgar, the King of the Danes, shows his love and responsibility as the leader by this avowal before Beowulf.

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I can infer that he was a responsible king who loved his kingdom and always wanted to be sure that it was protected and safe under his watch.

Explanation:

When King Hrothgar said that he had never left the hall of the Great Danes for any man to keep, he portrays himself as a responsible king who did not want to assign his primary role of safeguarding his kingdom to any other person.

King Hrothgar loved his people and wanted to shield them from Grendel who tormented them. That was why he was willing to allow Beowulf to battle Grendel and destroy him.

true. the definition explains it: a word or phrase that modifies or qualifies an adjective, verb, or other adverb or a word group, expressing a relation of place, time, circumstance, manner, cause, degree, etc. this is a dictionary definition that i have looked up in a dictionary.