tex]...

malkov0797 @malkov0797

July 2022 1 2 Report

[tex] \frac{3x-2}{|x-1|+|x-4|} \geq 2[/tex]

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Матов

Verified answer

$\frac{3x-2}{|x-1|+|x-4|} \geq 2\\
 1)\left \{ {{|x-1| \geq 0} \atop {x \geq 1}} \right. \\
\frac{3x-2}{x-1-x+4} \geq 2\\
3x-2>=6\\ \
x \geq \frac{8}{3}\\
udovletvoryaet!\\
2) \left \{ {{|x-4| \geq 0} \atop {x \geq 4}} \right. \\
\frac{3x-2}{2x-5} \geq 2\\
3x-2 \geq 4x-10\\
x \leq 8\\
i \ togo\\
Otvet\ interval \\ \frac{8}{3};8
$
[8/3 ; 8]

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