A woman, bleeding, covered in debris lying near the body of a civilian man, emerged from rubble on Tuesday after a rocket hit a house in the city of Ashkelon.
Hamas, Gaza's dominant Islamist movement, and other armed factions launched more than 400 rockets or mortar bombs across the border after carrying out a surprise guided-missile attack on Monday on a bus that wounded an Israeli soldier, the military said.
Sirens in southern Israeli towns and the port of Ashkelon sent residents rushing to bomb shelters. Several homes were hit and the military said Israel's Iron Dome anti-rocket system intercepted more than 100 rockets and mortar bombs.
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Palestinian militants on Tuesday kept up their most intense rocket fire on Israel since the 2014 Gaza war, drawing Israeli air strikes against Hamas's television station and other targets.
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The flare-up, in which three Palestinian gunmen and a civilian in Israel were killed, threatened to derail efforts by the United Nations, Egypt and Qatar to broker a long-term truce and head off another major conflict in the impoverished enclave.