All 4 Uses

irrelevant
in
Another Country
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She sipped her drink again, saying, irrelevantly, "I wish I could get drunk."†
p. 271.7

irrelevantly = in a manner that is not relevant (not related to the subject being considered, or not important enough to want to consider)
She thought, irrelevantly, I never should come to movies, I can't stand them, and then she began to cry.†
p. 283.3 *
He returned to the big room and cleared the night table of books and of urgently scrawled notes—nearly all of which, beneath his eyes, as he wrote them on small scraps of paper, had hardened into irrelevance—and emptied the ashtray.†
p. 392.7

irrelevance = the state or degree of not being relevant (not related to the subject being considered, or not important enough to want to consider)
"So did I," he said—too quickly, irrelevantly; and for the first time it occurred to him that, possibly, he was a liar; had never loved Rufus at all, but had only feared and envied him.†
p. 413.6

irrelevantly = in a manner that is not relevant (not related to the subject being considered, or not important enough to want to consider)

Definitions:

(1) (irrelevant)
not relevant (not related to the subject being considered, or not important enough to want to consider)
(2) (meaning too rare to warrant focus)