| 2x-1 | >3 |4x+5 | <5 | 2x+1|>|x+1| |7x-1|

Question

| 2x-1 | >3
|4x+5 | <5<br> | 2x+1|>|x+1|
|7x-1|

Answer 1

I2х-1I>3
2х-1>3       2х>4    х>2
2х-1<-3      2х<-2    х<-1       2<x<-1<br>
I4x+5I<5<br>4x+5<5     4x<0      x<0 <br>4x+5>-5     4x>-10   x>-2.5        -2.5
(2х+1 - (х+1))(2х+1 + (х+1))>0
(2х+1-х-1)(2х+1+х+1)>0
2х(3х+2)>0
х>0      x>-2/3