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Лера100223
Лера100223
18.02.2021 03:47 •  Алгебра

Множиною розв’язків нерівності log2 (2х − 1) > log2 (х − 2) є проміжок

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Ответ:
секрет93
секрет93
30.08.2022 01:26
1) Введем функцию: f(x)=(х∧2+2х+1)(х-3)(х+2)÷х∧2+2х-3, f(x)=0,
(х∧2+2х+1)(х-3)(х+2)÷х∧2+2х-3=0
2) Найдем нули числителя и знаменателя:
Числитель: -Все скобки приравниваем к нулю:
х∧2+2х+1=0
D<0, f(x)>0 х-любое число
x-3=0
x=3
x+2=0
x=-2
Расставляем полученные числа на числовую прямую, нам нужен промежуток с плюсом, т.к. в условии функция >0, получаем х принадлежит(-бесконечности; 2),(3; до +бесконечности),
Знаменатель: х∧2+2х-3 не равно 0
D=16
x=-3
x=1
Так же на числовой прямой расставляем полученные корни, получаем х принадлежит (-бесконечности; -3),(1; + бесконечности)
Сопоставляем полученные промежутки на общую числовую прямую, получаем конечный ответ х принадлежит (-бесконечности; -3),(3; + бесконечности)
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Ответ:
WeReWolF47
WeReWolF47
29.02.2020 14:52

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is my mother. She has baked a delicious strawberry pie.

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is my mother. She has baked a delicious strawberry pie.

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is my mother. She has baked a delicious strawberry pie.

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is my mother. She has baked a delicious strawberry pie.

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