Question

Помогите решить систему неравенств

Answer 1

Ответ:

$\left\{\begin{array}{l}\ \dfrac{3}{5}-\dfrac{2-4x}{3}\leq \dfrac{2x-3}{2}\ \Big|\cdot 30\\\dfrac{2x-27}{2}\geq 4x\ \Big|\cdot 2\end{array}\right\ \ \left\{\begin{array}{l}6\cdot 3-10\cdot (2-4x)\leq 15\cdot (2x-3)\\2x-27\geq 2\cdot 4x\end{array}\right\\\\\\\left\{\begin{array}{l}18-20+40x\leq 30x-45\\2x-27\geq 8x\end{array}\right\ \ \left\{\begin{array}{l}10x\leq -43\\6x\leq -27\end{array}\right\ \ \left\{\begin{array}{l}x\leq -4,3\\x\leq -4,5\end{array}\right\ \ \Rightarrow \ x\leq -4,5$

$Otvet:\ \ x\in (-\infty ;-4,5\ ]\ .$

Answer 2

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