Question

СРОЧНО!!!РЕШИТЕ НЕРАВЕНСТВО!!!ДАЮ 35 БАЛЛОВ

Answer 1

$5x-4\leq \frac{2x+6}{8} \leq 6x-5<=>\left \{ {{5x-4\leq \frac{2x+6}{8} } \atop {\frac{2x+6}{8} \leq 6x-5}} \right.$

$\left \{ {{(5x-4)*8\leq \frac{2x+6}{8}*8 } \atop {\frac{2x+6}{8} *8\leq (6x-5)*8}} \right.$

$\left \{ {{40x-32\leq 2x+6 } \atop {2x+6 \leq 48x-40}} \right.$

$\left \{ {{40x-2x\leq 32+6 } \atop {2x-48x \leq -6-40}} \right.$

$\left \{ {{38x\leq 38} \atop {-46x\leq -46}} \right.$

$\left \{ {{38x:38\leq 38:38} \atop {-46x:(-46)\geq -46:(-46)}} \right.$

$\left \{ {{x\leq 1} \atop {x\geq 1}} \right.<=>x=1$

Ответ: {1}

Answer 2

$5x-4\leq\dfrac{2x+6}{8}\leq6x-5 \\\\(5x-4)\cdot8\leq\dfrac{2x+6}{8}\cdot8\leq(6x-5)\cdot8\\\\40x-32\leq 2x+6\leq48x-40\\\\40x-32-6\leq2x+6-6\leq 48x-40-6\\\\40x-38\leq2x\leq48x-46\\\\20x-19\leq x\leq24x-23\\\\\left\{\begin{array}{ccc}x\geq 20x-19\\x\leq24x-23 \end{array}\right\\\\\\\left\{\begin{array}{ccc}\\-19x\geq-19 \\-23x\leq-23 \end{array}\right\\\\\\\left\{\begin{array}{ccc}x\leq 1\\x\geq1 \end{array}\right\\\\\\Otvet:\boxed1$