Question

Помогите пожалуйста срочно, ставлю 40 баллов

Answer 1

$1)\; \; \left\{\begin{array}{l}(x-4)(5x-1)-5x^2\geq x+40\\2x-4<6+3x\end{array}\right\; \; \left\{\begin{array}{l}5x^2-21x+4-5x^2\geq x+40\\-10<x\end{array}\right\\\\\\\left\{\begin{array}{ccc}-22x\geq 36\\x>-10\end{array}\right\; \; \left\{\begin{array}{ccc}x\leq -\frac{18}{11}\\x>-10\end{array}\right\; \; \; \; \to \; \; \; x\in (-10\, ;\, -1\frac{7}{11}\; ]$

$2)\; \; -7<\dfrac{3a-2}{2}<2\; \; \; \to \; \; \; -14<3a-2<4\; \; ,\; \; \; -12<3a<6\; ,\\\\\\-4<a<2\; \; \; \to \; \; \; a\in (-4;\, 2\; )$

$3)\; \; \left\{\begin{array}{l}\frac{y}{2}-2<0\\2-y<4\end{array}\right\; \; \left\{\begin{array}{ccc}y-4<0\\y>2-4\end{array}\right\; \; \left\{\begin{array}{ccc}y<4\\y>-2\end{array}\right\; \; \; \to \; \; \; y\in (-2\, ;\; 4\, )$