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Найдите пересечение числовых промежутков. \[ (-\infty ;-3,3] \text { и }(-11 ; 11) \] Ваш ответ:

Ask by Mckenzie Crawford. in Kazakhstan
Oct 31,2024

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Answer

Пересечение числовых промежутков \( (-\infty, -3) \) и \( (-11, 11) \) — это интервал \( (-11, -3) \).

Solution

Чтобы найти пересечение числовых промежутков \( (-\infty, -3) \) и \( (-11, 11) \), нужно определить, какие значения принадлежат обоим промежуткам. 1. Первый промежуток \( (-\infty, -3) \) включает все числа, которые меньше -3. 2. Второй промежуток \( (-11, 11) \) включает все числа, которые больше -11 и меньше 11. Теперь найдем пересечение: - Числа, которые меньше -3, также должны быть больше -11. Таким образом, пересечение будет от -11 до -3. Записываем пересечение: \[ (-11, -3) \] Таким образом, ответ: \( (-11, -3) \).

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