WASHINGTON — There were 41,432 layoff intentions announced in June, up 11.6% from 37,135 in May, and also higher than the 39,358 job cuts announced in June 2010, job placement firm Challenger, Gray and Christmas Inc. said in a report released Wednesday. The data is not seasonally adjusted.

Layoffs in June were led by the government-nonprofit sector, which reported 10,176 job reductions in the month.

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