Question

Реши систему неравенств.

1/7x>-56
7,9x−8<8,4x+4

x ∈

Answer 1

Ответ:  $x \in (-24 \; ; \; +\infty ).$

Решение:

$\displaystyle \left \{ {{\frac{1}{7}x >-56} \atop {7,9x-8<8,4x+4}} \right.\;\; ; \;\;\;\;\; \left \{ {{7\cdot\frac{1}{7}x>-56\cdot7} \atop {-8-4<8,4x-7,9x}} \right. \;\; ; \;\;\;\;\; \left \{ {{x>-392} \atop {-12<0,5x}} \right. \;\; ;\\\\\\ \Rightarrow \;\;\;\;\; \left \{ {{x>-392} \atop {x>-24}} \right. \;\;\;\;\; \Rightarrow \;\;\;\; x>-24\\\\\\x \in (-24 \; ; \; +\infty ).$