Seemingly divided, the Supreme Court struggled Tuesday with the question of whether companies have religious rights, a case challenging President Barack Obama’s health overhaul and its guarantee of birth control in employees’ preventive care plans.

Peppering attorneys with questions in a 90-minute argument, the justices weighed the rights of for-profit companies against the rights of female employees. The discussion ranged to abortion, too, and even whether a female worker could be forced to wear an all-covering burka.