Контрольные задания > The question in the image is asking to fill in the missing parts of the tables that represent numerical intervals. There are four variants of these tables. I need to extract the data from the provided tables and represent it in a structured format. I will go through each variant and each row to extract the 'Неравенство' (Inequality), 'Обозначение' (Notation), 'Название' (Name), and 'Геометрическая модель' (Geometric model).
Вопрос:

The question in the image is asking to fill in the missing parts of the tables that represent numerical intervals. There are four variants of these tables. I need to extract the data from the provided tables and represent it in a structured format. I will go through each variant and each row to extract the 'Неравенство' (Inequality), 'Обозначение' (Notation), 'Название' (Name), and 'Геометрическая модель' (Geometric model).

Смотреть решения всех заданий с листа

Ответ:

Variant 1

НеравенствоОбозначениеНазваниеГеометрическая модель
1 < x < 3(1;3)интервалGeometric model 1
[2;5]Geometric model 2
x < 10Geometric model 3
(0;+∞)Geometric model 4
-5 ≤ x ≤ 6Geometric model 5
(-∞;8]Geometric model 6

Variant 2

НеравенствоОбозначениеНазваниеГеометрическая модель
1 < x < 3(1;3)интервалGeometric model 7
(-10;+∞)Geometric model 8
x > -4[-1;19)Geometric model 9
[-13;12]Geometric model 10
-11 ≤ x ≤ -7Geometric model 11
(-∞;-2]Geometric model 12

Variant 3

НеравенствоОбозначениеНазваниеГеометрическая модель
1 < x < 3(1;3)интервалGeometric model 13
2 ≤ x ≤ 8Geometric model 14
x < -5(8;+∞)Geometric model 15
(-3;0)Geometric model 16

Variant 4

НеравенствоОбозначениеНазваниеГеометрическая модель
1 < x < 3(1;3)интервалGeometric model 17
(3;+∞)Geometric model 18
[-5;1)Geometric model 19
x > 6Geometric model 20
0 ≤ x ≤ 8Geometric model 21
[-2;7]Geometric model 22
(-∞;0]Geometric model 23

Variant 5 (from bottom)

НеравенствоОбозначениеНазваниеГеометрическая модель
(1;4)Geometric model 24
x ≤ -3Geometric model 25
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