May job openings were elevated despite hiring slowing sharply. Photo: joshua lott/Reuters By Eric Morath Eric Morath The Wall Street Journal Biography Updated July 9, 2019 4:03 pm ET

WASHINGTON—The number of unfilled jobs in the U.S. fell slightly in May, but remained near record levels, suggesting demand for workers was strong even during a month when hiring slowed sharply.

There were a seasonally adjusted 7.323 million unfilled jobs at the end of May, down 49,000 from

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