Question

помогите пожалуйста решить!!

Answer 1

Ответ:

$1)\ \ \dfrac{4x-9x^2}{10-2x}\leq 0\ \ ,\ \ \ \dfrac{x\, (4-9x)}{2\, (5-x)}\leq 0\ \ ,\ \ \ \dfrac{x\, (9x-4)}{2\, (x-5)}\leq 0\ ,\ x\ne 5\\\\\\znaki:\ \ ---[\ 0\ ]+++[\frac{4}{9}\ ]---(5)+++\\\\x\in (-\infty \ ;\ 0\ ]\cup [\ \frac{4}{9}\ ;\ 5\ )$

$2)\ \ \left\{\begin{array}{l}2x^2+5x-3\geq 0\\2x+5<0\end{array}\right\ \ \left\{\begin{array}{l}2(x+3)(x-\dfrac{1}{2})\geq 0\\x<-\dfrac{5}{2}\end{array}\right\ \ \left\{\begin{array}{l}x\in (-\infty ;-3\ ]\cup [\ \frac{1}{2}\ ;+\infty )\\x\in (-\infty ;-2,5\ )\end{array}\right\\\\\\x\in (-\infty ;-3\ ]$