Question

Помогите с математикой пожалуйста номер 970
Зарание спасибо!)

Answer 1

1)

$\left \{ {{3(x-1)<x-3} \atop {5(x+3)>2x+3}} \right. \\ \left \{ {{3x-3<x-3} \atop {5x+15>2x+3}} \right.  \\ \left \{ {{2x<0} \atop {3x>-12}} \right. \\ \left \{ {{x<0} \atop {x>-4}} \right.  \\ x \in (-4;0)$

2)

$\left \{ {{2(y-2) \geq 3y+1} \atop {5(y+1) \leq 4y+3}} \right.  \\ \left \{ {{2y-4 \geq 3y+1} \atop {5y+5 \leq 4y+3}} \right. \\ \left \{ {{-y \geq 5} \atop {y \leq-2}} \right. \\ \left \{ {{y \leq -5} \atop {y \leq-2}} \right.  \\ y \in (-\infty;-5]$

3)

$\left \{ {{3(2y-3)\leq y+6} \atop {4(3y+1)\geq5y-10}} \right. \\ \left \{ {{6y-9\leq y+6} \atop {12y+4 \geq 5y-10}} \right.  \\ \left \{ {{5y\leq 15} \atop {7y \geq -14}} \right. \\ \left \{ {{y\leq 3} \atop {y \geq -2}} \right. \\ y\in [-2;3]$

4)

$\left \{ {{2(3x+2)>5(x-1)} \atop {7(x+2)>3(2x+3)}} \right. \\ \left \{ {{6x+4>5x-5} \atop {7x+14>6x+9}} \right. \\ \left \{ {{x>-9} \atop {x>-5}} \right. \\ x\in (-5;+\infty)$