Решите неравенства. Номера 577 (1,2) и 578 (1).. Created by DoGe220. algebra-ru

Решите неравенства. Номера 577 (1,2) и 578 (1)...

July 2022 1 12 Report

Решите неравенства.
Номера 577 (1,2) и 578 (1).

Answers & Comments

xtoto 577 (1)
$\frac{x+2}{3-x}\ \textgreater \ 0\\\\
\frac{x+2}{-(x-3)}\ \textgreater \ 0\\\\
-\frac{x+2}{x-3}\ \textgreater \ 0\\\\
\frac{x-(-2)}{x-3}\ \textless \ 0\\\\
++++++++(-2)-----------(3)++++++\ \textgreater \ x\\\\
x\in(-2;\ 3)$

577 (2)
$\frac{x-10}{2-x}\ \textless \ 0\\\\
-\frac{x-10}{x-2}\ \textless \ 0\\\\
\frac{x-10}{x-2}\ \textgreater \ 0\\\\
+++++++++(2)-------(10)+++++++++\ \textgreater \ x\\\\
x\in(-\infty;\ 2)\cup(10;\ +\infty)$

578 (1)
$\frac{x^2-6x}{x^2-6x+9} \leq 0\\\\
\frac{x(x-6)}{(x-3)^2} \leq 0\\\\
\frac{(x-0)*(x-6)}{(x-3)^2} \leq 0\\\\
++++++[0]------(3)------[6]++++++\ \textgreater \ x\\\\
x\in[0;\ 3)\cup(3;\ 6]$

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