Question

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Answer 1

Ответ:

Определить количество целых решений системы неравенств .

$1)\ \ \left\{\begin{array}{l}7x+3 > 5x+9\\-11x\geq 22\end{array}\right\ \ \left\{\begin{array}{l}2x > 6\\x\leq 2\end{array}\right\ \ \left\{\begin{array}{l}x > 3\\x\leq 2\end{array}\right\ \ \ \Rightarrow \ \ \ x\in \varnothing$  

Ответ: Г) .

$2)\ \ \left\{\begin{array}{l}10x-12\geq 8x-2\\45-7x\leq 8x-30\end{array}\right\ \ \left\{\begin{array}{l}2x\geq 10\\75\leq 15x\end{array}\right\ \ \left\{\begin{array}{l}x\geq 5\\x\geq 5\end{array}\right\ \ \ \Rightarrow \ \ \ x=5$  

Ответ:  А) .

$3)\ \ \left\{\begin{array}{l}7x-3\geq 2x-12\\x+5\geq 3x-11\end{array}\right\ \ \left\{\begin{array}{l}5x\geq -9\\16\geq 2x\end{array}\right\ \ \left\{\begin{array}{l}x\geq -1,8\\x\leq 8\end{array}\right\ \ \ \Rightarrow \ \ \ x\in [-1,8\ ,\ 8\ ]$

Ответ:  В) .

$4)\ \ \left\{\begin{array}{l}4x+17\geq x-4\\x+2\leq 7x+18\end{array}\right\ \ \left\{\begin{array}{l}3x\geq -21\\-16\leq 6x\end{array}\right\ \ \left\{\begin{array}{l}x\geq -7\\x\geq -2\dfrac{2}{3}\end{array}\right\ \ \ \Rightarrow \ \ \ x\in [-2\frac{2}{3}\ ;+\infty \, )$

Ответ:  Б) .