Решите неравенство..... Created by zebra1996. algebra-ru

Решите неравенство...

zebra1996 @zebra1996

July 2022 1 3 Report

Решите неравенство....

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sedinalana

Verified answer

1<(3x-1)/(2x+1)<2
{(3x-1)/(2x+1)>1
{(3x-1)/(2x+1)<2
(3x-1)/(2x+1)-1>0
(3x-1-2x-1)/(2x+1)>0
(x-2)/(2x+1)>0
x=2 x=-1/2
x<-1/2 U x>2
(3x-1)/(2x+1)-2<0
(3x-1-4x-2)/(2x+1)<0
(x+3)/(2x+1)>0
x=-3 x=-1/2
x<-3 U x>-1/2
x∈(-∞;-3) U (2;∞)

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