Question

-1<7+2y<4
4<8-3x≤10
0<3y+2/6≤5

Answer 1

$-1<7+2y<4\\\\-1-7<2y<4-7\\\\-8<2y<-3\quad|:2\\\\-4<y<-1.5$

Ответ:  $y\in(-4;\ -1.5)$

$4<8-3x\leq 10\quad|-8\\\\-4<-3x\leq 2\quad|\cdot(-1)\\\\4>3x\geq -2\quad|:3\\\\\dfrac43>x\geq -\dfrac23$

Ответ:  $x\in\bigg[-\dfrac23;\ \dfrac43\bigg)$

$0<3y+\dfrac26\leq 5\\\\0<\dfrac{18y+2}{6}\leq 5\\\\0<\dfrac{2(9y+1)}{6}\leq 5\quad|\cdot3\\\\0<9y+1\leq 15\quad|-1\\\\-1<9y\leq 14\quad|:9\\\\-\dfrac19<y\leq \dfrac{14}9$

Ответ:  $y\in\bigg(-\dfrac19;\ \dfrac{14}9\bigg]$