The high court action enables the administration to resume work on winding down the department, one of Trump’s biggest campaign promises.

WASHINGTON — The Supreme Court on Monday gave President Trump the authority to dismantle the Education Department and to fire about half of its staff. In a 6-3 decision, the court’s conservatives set aside a Boston judge’s order and cleared the way for Education Secretary Linda McMahon to carry out her plans to shut down much of her department.