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MIAMI (CBSMiami) – Beginning Thursday night, travelers from six predominantly Muslim nations will find it tougher entering the United States under President Donald Trump’s revised travel ban.

The Supreme Court partially restored the president’s executive order, saying lower courts that had totally blocked the policy went too far in limiting Trump’s authority.

At Miami International Airport, the modified ban got mixed reviews.

“I think there’s other ways to do this, better security checks, I mean, there’s a lot of things we can do,” said Miami attorney Roberto Ortiz arriving on a flight from Mexico.

“I don’t think it’s right. It shouldn’t be that way. There are other ways to protect the country,” said Javier Alverto from Argentina.

That was the opinion among most international travelers. American minds were mixed.

“I don’t think something as detrimental as that, and that hurtful, is any good,” said Darlene Jones from New Orleans. “I think it’s going to be worse, actually, because people are going to be really mad.”

Diego Roque of Miami had a differing view.

“The president is really trying to keep us safe here in the United States. We have to take the threat seriously,” Roque said.

All travelers from Iran, Libya, Somalia, Sudan, Syria, and Yemen will face a tougher time entering the U.S.

The Supreme Court ruled those already holding visas, and those with a “bona fide relationship” with an American person or entity may enter the United States.

Among those the court specifically cited were people with relatives in the U.S., students studying in the states, U.S.-hired workers and invited speakers.

The argument has also begun over just what “bona fide relationship” means.

The state department has interpreted “relatives” to mean immediate family members, excluding grandparents, aunts, uncles, cousins and the like.

Howard Simon of the American Civil Liberties Union of Florida said there will certainly be legal challenges to the administration’s interpretation of the Supreme Court’s order.