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CHICAGO—The day after the Supreme Court cleared a path to overturn this city's ban on handguns—among the toughest in the U.S.—frustrated city officials began Tuesday to consider new measures to circumvent the high court's ruling.

At a tense City Hall meeting packed with citizens holding up photos of children who'd been shot, city aldermen discussed forcing gun owners to purchase liability insurance and to undergo criminal background checks and periodic firearms training. They also peppered a firearms-law expert and Chicago Police Supt. Jody Weis with questions while promising to pass something meaningful.

If the city can pass a dog ordinance that "can protect the public from a dog bite," we should be able to tighten handgun regulations, Alderman Freddrenna Lyle said.

The debate comes at the direction of Mayor Richard Daley, an outspoken critic of gun access who reacted angrily to the Supreme Court decision.

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