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Консультация № 200598
08.04.2021, 13:28
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Здравствуйте! Прошу помощи в следующем вопросе:Записать высказывание и определит его истинность, считая, что все переменные принадлежат множеству действительных чисел :
(∃x) (∀y): (x + y = 10)
(∀x) (∃y) (∃z): x*y = z
(∃x) (∀y): (x + y = 10)
(∀x) (∃y) (∃z): x*y = z
Обсуждение
08.04.2021, 20:34
общий
это ответ
Здравствуйте, Фёдор Сергеевич!
Своё мнение о предложенных Вами задачах я изложил ниже.
Высказывание
можно записать так: "Существует такое действительное число 
что для любого действительного числа 
выполняется равенство 
". Это высказывание истинное, потому что каким бы ни было действительное число 
положив 
получим 
Высказывание
можно записать так: "Для любого действительного числа 
существуют действительные числа и 
такие, что выполняется равенство 
". Это высказывание истинное, потому что каким бы ни было действительное число положив, например, 
получим 
Своё мнение о предложенных Вами задачах я изложил ниже.
Высказывание
можно записать так: "Существует такое действительное число что для любого действительного числа выполняется равенство ". Это высказывание истинное, потому что каким бы ни было действительное число положив получим Высказывание
можно записать так: "Для любого действительного числа существуют действительные числа и такие, что выполняется равенство ". Это высказывание истинное, потому что каким бы ни было действительное число положив, например, получим
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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