|5x+3|<|2x-1|решите пожайлуста

Ответ

Проверено экспертом

Автор - arsenlevadniy

$|5x+3|<|2x-1|, \ 5x+3=0, x=-0,6, \ 2x-1=0, x=0,5, \ left { {{x leq -0,6,} atop {-(5x+3)<-(2x-1);}} right. left { {{x leq -0,6,} atop {5x+3>2x-1;}} right. left { {{x leq -0,6,} atop {3x>-4}} right. left { {{x leq -0,6,} atop {x>-1 frac{1}{3};}} right.\ -1 frac{1}{3}<x leq -0,6;$
$left { {{-0,6 leq x leq 0,5,} atop {5x+3<-(2x-1);}} right. left { {{-0,6 leq x leq 0,5,} atop {5x+3<-2x+1;}} right. left { {{-0,6 leq x leq 0,5,} atop {7x<-2;}} right. left { {{-0,6 leq x leq 0,5,} atop {x<- frac{2}{7};}} right. <br />\ -0,6<x<- frac{2}{7};$
$left { {{x>0,5,} atop {5x+3<2x-1;}} right. left { {{x>0,5,} atop {3x<-4;}} right.left { {{x>0,5,} atop {x<-1 frac{1}{3} ;}} right. \ xinvarnothing. \ \ -1 frac{1}{3}<x<- frac{7}{2}. .$