Question

Решите неравенство:
|х-7|>=4
(Знак больше-равно)

Answer 1

$|x-7|\geq 4\\\\x-7\geq 4\ \ \ \ \ \ \ \ x-7\leq -4\\\\x\geq 4+7 \ \ \ \ \ \ \ \ x\leq -4+7\\\\x\geq 11 \ \ \ \ \ \ \ \ \ \ \ x\leq 3\\\\x\in (-\infty;3]\cup[11;+\infty)$