Although the protesters appear to have nearly universally ignored the anti-mask law put in place on Friday, Lam said it was too early to gauge whether the law would work.
"I still strongly feel that we should find the solution ourselves", Lam told reporters Tuesday before a meeting of the city's Executive Council.
Some students from La Salle College wear masks, which have been banned at protests under emergency powers, as they walk to school in Hong Kong on Tuesday.
"If the situation becomes so bad, then no options could be ruled out, if we want Hong Kong to at least have another chance", Lam said at weekly news conference after a long weekend of violence crippled the city.
US sports brand Vans has removed "a small number" of submissions in a sneaker design competition including one apparently giving a shout out to Hong Kong's pro-democracy protests, as companies weigh the risks of angering China.
Over the past weekend, tens of thousands of protesters, many defying the mask ban, took to the streets to voice their anger against the anti-mask law while reiterating their calls for the government to fulfil demands for greater democracy, including universal suffrage.
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That choice was calling the police after finding and reading her son's journal. I know I did all I can do and that I made the right choice", she added.
Hong Kong, a former British colony, was returned to China 22 years ago on a promise of "one country, two systems" that was to have granted it substantial control over its own affairs.
United States skateboard brand Vans is facing a Hong Kong boycott after it removed a protest-inspired shoe from a design competition. Protesters targeted a military barracks with laser pointers prompting troops to hoist a banner warning them they could be arrested.
Recently, Hong Kong's status as a stable, open economic hub has been put in doubt as the prospect of Chinese military intervention grows. "The Hong Kong losers are starting to boycott Vans, but the mainland market will lift it up", said one Weibo user. "They have to do that in a peaceful manner", he told reporters at the White House.
"I can not (say) now under what circumstances we would do extra things including.calling on the central government for help", Lam said. "That's also the position of the central government that Hong Kong should tackle the problem on our own". Those rallies later descended into violent clashes with police. Police responded with tear gas. "Hong Kong's various sectors will enter a severe winter season", she said.
People with health reasons and those wearing a mask for religious reasons are also exempt, according to a document published on the security bureau's website.
She has said the mask ban will make identification of rioters easier for police and that other measures are possible if violence continues.
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It featured a red bauhinia, the flower on Hong Kong's flag, and a yellow umbrella, a nod to the 2014 protests that some refer to as the umbrella revolution.
Patten added: "I fear for the future, unless Carrie Lam actually intervenes and understands the importance of dialogue".
That's the message from Hong Kong leader Carrie Lam on Tuesday (October 8).
"I am wearing a mask to come here today. this is a form of silent protest", said student Bao Yeung, 16, who was among a large group of supporters outside the court.
Chinese diplomats accused the European Union of "publicly glorifying the rioters and flouting police self-defence measures against their aggressors", and questioned whether European Union members actually wanted Hong Kong to "plunge into irreversible chaos." .
Among these defendants, 14 are also charged with violating the anti-mask law.
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The push for "digital wellbeing" by Google is created to encourage consumers to operate their phones in a healthier manner. This said tactic allows an attacker to take full control of phones from Samsung, Xiaomi , Google, Huawei , and many more.