Question

12. Выбери верные неравенства

Answer 1

Ответ:

$x-\frac{1}{18} > y-\frac{1}{18}\\\\-\frac{1}{18}x < -\frac{1}{18}y\\\\x+\frac{1}{18} > y+\frac{1}{18}\\\\\frac{1}{18}x > \frac{1}{18}y$

Объяснение:

$x > y\ \ \ |-\frac{1}{18}\\\\x-\frac{1}{18} > y-\frac{1}{18}\\\\\\x > y\ \ \ |\cdot(-1)\\\\-x < -y\ \ \ |+\frac{1}{18}\\\\\frac{1}{18}-x < \frac{1}{18}-y\\\\\\x > y\\\\\frac{1}{x} < \frac{1}{y}\ \ \ |\cdot 18\\\\\frac{18}{x} < \frac{18}{y}\\\\\\x > y\ \ \ |\cdot(-\frac{1}{18})\\\\-\frac{1}{18}x < -\frac{1}{18}y\\\\\\x > y\ \ \ |+\frac{1}{18}\\\\x+\frac{1}{18} > y+\frac{1}{18}\\\\\\x > y\ \ \ |\cdot\frac{1}{18}\\\\\frac{1}{18}x > \frac{1}{18}y$