Решите неравенство [tex]\frac{5x+8}{4-x}\ \textless \ 2 [/tex]. Created by caesarisdead. matematika-ru

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Решите неравенство [tex]\frac{5x+8}{4-x}\ \textless \ 2 [/tex]

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arsenlevadniy

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$\frac{5x+8}{4-x}\ \textless \ 2, \\ \left \{ {{4-x\neq0,} \atop {\frac{5x+8}{4-x}-2\ \textless \ 0;}} \right. \ \left \{ {{x\neq4,} \atop {\frac{5x+8-8+2x}{4-x}\ \textless \ 0;}} \right. \ \left \{ {{x\neq4,} \atop {\frac{7x}{4-x}\ \textless \ 0;}} \right. \ \left \{ {{x\neq4,} \atop {\frac{x}{x-4}\ \textgreater \ 0;}} \right. \ \left \{ {{x\neq4,} \atop x(x-4)\ \textgreater \ 0;}} \right.$
$\left [ { \left \{ {{x\ \textless \ 0,} \atop {x-4\ \textless \ 0,}} \right. } \atop { \left \{ {{x\ \textgreater \ 0,} \atop {x-4\ \textgreater \ 0;}} \right. }} \right. \ \left [ { \left \{ {{x\ \textless \ 0,} \atop {x\ \textless \ 4,}} \right. } \atop { \left \{ {{x\ \textgreater \ 0,} \atop {x\ \textgreater \ 4;}} \right. }} \right. \ \left [x\ \textless \ 0, } \atop {x\ \textgreater \ 4; }} \right. \\ x\in(-\infty;0)\cup(4;+\infty).$

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ukazhite obshij ved pervoobraznyh dlya funkcii fxsin2xcosx

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