Both were taken to a local hospital for treatment.
A woman has left two people injured after she attacked them with a boxcutter in a French supermarket.
The woman hit the visitor of shop Leclerc chest with a knife, then attacked the cashier, who was slightly injured.
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The 24-year-old assailant, who was dressed in black and wore dark sunglasses, did not have a police record.
The prosecutor said: "We don't know whether this incident was a terrorist attack but it is terrifying because this man who was going about his business was attacked at a supermarket checkout till".
Regional newspaper Nice-Matin, which first reported the 10:30 a.m. attack, quoted an unidentified witness as saying that people in the store stopped the woman from cutting anyone else.
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The law enforcers have been searching her home, checking whether she had links to Islamic State (IS, formerly ISIS) or other radical groups.
Marchal said that despite it likely being an isolated case, "that doesn't exclude the possibility that she may have been radicalized".
More than 240 people have been killed in jihadist attacks since the massacre at the Charlie Hebdo satirical magazine in Paris in January 2015. The attack in La Seyne-sur-Mer has not been linked to terrorism so far and is now being investigated.
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On May 12, one person was killed and four injured on the rue Monsigny in Paris, when a man stabbed them with a knife shouting "Allahu Akbar".