Question

Решить неравенство: x+11\x−10<1

Answer 1

$\frac{x + 11}{x - 10} < 1 \\ \frac{x + 11}{x - 10} - 1 < 0 \\ \frac{x + 11 - (x - 10)}{x - 10} < 0 \\ \frac{x + 11 - x + 10}{x - 10} < 0 \\ \frac{21}{x - 10} < 0 \\ x - 10 < 0 \\ x < 10. \: x \: ne \: raven \: 10 \\$

x=> (-oo, 10)