The Supreme Court seems divided over whether employers' religious beliefs can free them from a part of the new health care law that requires that they provide coverage of birth control for employees at no extra charge.

Demonstrators who disagree stand back-to-back during a rally outside of the U.S. Supreme Court during oral arguments in Sebelius v. Hobby Lobby (Chip Somodevilla/Getty Images)

The case argued Tuesday involves family-owned companies that provide health insurance to their employees, but object to covering certain methods of birth control that they say can work after conception, in violation of their religious beliefs.

The Obama administration and its supporters say a Supreme Court ruling in favor of the businesses also could undermine laws governing immunizations, Social Security taxes and minimum wages.

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