Question

Розв'яжіть систему нерівностей

Answer 1

Ответ:

Объяснение:

$\displaystyle\\\left \{ {{\dfrac{x}{6}+\dfrac{2}{3}(x-7)<\dfrac{3x-20}{9}~~~~~~~~|\cdot18} \atop {3x-\dfrac{2x-13}{11}>2~~~~~~~~~~~~~~~~~|\cdot11} \right. \\\\\\\left \{ {{3x+12(x-7)<2(3x-20)} \atop {33x-2x+13>22}} \right. \\\\\\\left \{ {{3x+12x-84<6x-40} \atop {31x>22-13}} \right.\\\\\\\left \{ {{15x-6x<-40+84} \atop {31x>9}} \right. \\\\\\\left \{ {{9x<44} \atop {x>\dfrac{9}{31} }} \right.\\\\\\ \left \{ {{x<\dfrac{44}{9} } \atop {x>\dfrac{9}{31} }} \right.$

$Otvet:x\in\bigg(\dfrac{9}{31} ;4\dfrac{8}{9}\bigg)$