№545 ПОМОГИТЕ ПОЖАЛУЙСТА. Created by Kadilya. algebra-ru

№545 ПОМОГИТЕ ПОЖАЛУЙСТА...

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Решение во вложении.

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sancas 2x²-1≥0
2x²≥1
x²≥1/2
|x|≥√1/2
|x|≥1/√2
x≥√2/2, x≥0
-x≥√2/2, x<0
x∈[√2/2, +∞)
x≤-√2/2, x<0
x∈[√2/2, +∞)
x∈[-∞, -√2/2)

Ответ: x∈(-∞, -√2/2] U [√2/2, +∞)

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