Ответ:
[tex]\displaystyle (0;2][/tex]
Объяснение:
[tex]\displaystyle x\neq 0\\\\ \frac{1}{x}\geq \frac{1}{2}\\\\ \frac{1}{x}-\frac{1}{2}\geq 0\\\\ \frac{2}{2x}-\frac{x}{2x}\geq 0\\\\ \frac{2-x}{2x}\geq 0\\\\2x(2-x)\geq 0\ \ \ |:2\\\\x(2-x)\geq 0[/tex]
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0 2
[tex]\displaystyle x\in(0;2][/tex]
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Answers & Comments
Ответ:
[tex]\displaystyle (0;2][/tex]
Объяснение:
[tex]\displaystyle x\neq 0\\\\ \frac{1}{x}\geq \frac{1}{2}\\\\ \frac{1}{x}-\frac{1}{2}\geq 0\\\\ \frac{2}{2x}-\frac{x}{2x}\geq 0\\\\ \frac{2-x}{2x}\geq 0\\\\2x(2-x)\geq 0\ \ \ |:2\\\\x(2-x)\geq 0[/tex]
\\\\\\\\\\\\\\\
————○—————●—————>
0 2
[tex]\displaystyle x\in(0;2][/tex]