Question

15 Баллов за 1 пример
Решить Неравенство ​

Answer 1

$\frac{5}{6}(7+9y)\leq 14\frac{2}{3}-\frac{7}{8}(5y-8)\\\\\frac{5}{6}(7+9y)\leq\frac{44}{3}-\frac{7}{8}(5y-8)\\ \\\frac{5}{6}*7+\frac{5}{6}*9y\leq\frac{44}{3}-\frac{7}{8}*5y-\frac{7}{8}*(-8)\\\\\frac{35}{6}+\frac{45y}{6}\leq \frac{44}{3}-\frac{35y}{8} +\frac{56}{8}\\\\\frac{45y}{6}+\frac{35y}{8}\leq \frac{44}{3}+\frac{56}{8}-\frac{35}{6} \\\\\frac{180y}{24}+\frac{105y}{24}\leq\frac{352}{24}+\frac{168}{24}-\frac{140}{24}$

$\frac{285y}{24}\leq\frac{520}{24}-\frac{140}{2}\\\\\frac{285}{24}y\leq\frac{380}{24}\\\\y\leq \frac{380}{24}:\frac{285}{24}\\\\y\leq \frac{380}{24}*\frac{24}{285}\\\\y\leq \frac{76}{1} *\frac{1}{57}\\\\y\leq \frac{76}{57}\\\\y\leq1 \frac{19}{57}\\\\y\leq 1\frac{1}{3}$

y ∈ ( -∞ ; $1\frac{1}{3}$ ]