Я понял, вам нужно заполнить таблицу, представляющую различные способы описания числовых промежутков. Давайте сделаем это по порядку.

Задание 1

Первая строка таблицы уже содержит геометрическую модель числового промежутка. Нам нужно заполнить аналитическую модель, обозначение промежутка и название промежутка.

• Геометрическая модель: На числовой прямой заштрихована область от минус бесконечности до 2, включая 2.
• Аналитическая модель: Это можно записать как $x \le 2$.
• Обозначение промежутка: $(-\infty; 2]$
• Название промежутка: Числовой луч

Задание 2

Вторая строка таблицы содержит аналитическую модель $x > 1$. Нам нужно заполнить геометрическую модель, обозначение промежутка и название промежутка.

• Геометрическая модель: На числовой прямой нужно изобразить открытый круг в точке 1 и заштриховать область справа от 1 до плюс бесконечности.
• Обозначение промежутка: $(1; +\infty)$
• Название промежутка: Открытый луч

Задание 3

Третья строка таблицы содержит название промежутка: "Интервал от -5 до 0". Нам нужно заполнить геометрическую модель, аналитическую модель и обозначение промежутка.

• Геометрическая модель: На числовой прямой нужно изобразить открытые круги в точках -5 и 0, и заштриховать область между ними.
• Аналитическая модель: Это можно записать как $-5 < x < 0$.
• Обозначение промежутка: $(-5; 0)$

Вот заполненная таблица:

| Геометрическая модель do | Аналитическая модель | Обозначение промежутка | Название промежутка |
| 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Понял, нужно решить задание 4. В данном случае, это последняя строка таблицы.

Задание 4

Четвертая строка таблицы содержит геометрическую модель числового промежутка. На числовой прямой заштрихована область от -2 (включительно) до 3 (не включительно). Нам нужно заполнить аналитическую модель, обозначение промежутка и название промежутка.

• Геометрическая модель: На числовой прямой заштрихована область от -2 (включительно) до 3 (не включительно).
• Аналитическая модель: Это можно записать как $-2 \le x < 3$.
• Обозначение промежутка: $[-2; 3)$
• Название промежутка: Полуинтервал

Вот заполненная таблица:

| Геометрическая модель do | Аналитическая модель | Обозначение промежутка | Название промежутка |
| :-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------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