Question

Решите неравенство: 1)1-х< 2х-5; 2)2х+1> х+6; 3)4х+2> 3х+1; 4)6х+1< 2х+9. !

Answer 1

1)
$1 - x \ \textless \ 2x -5\\ 2x + x 1 +5\\3x \ \textgreater \ 6\\ x\ \textgreater \ 2$

2)
$2x + 1 \ \textgreater \ x+6\\ 2x -x 6-1\\ x \ \textgreater \ 5$

3)
$4x + 2\ \textgreater \ 3x+1\\ 4x - 3x \ \textgreater \ 1 -2\\ x \ \textgreater \ -1$

4)
$6x+1 \ \textless \ 2x+9\\ 6x -2x \ \textless \ 9-1\\ 4x \ \textless \ 8\\ x\ \textless \ 2$