Question

Решите неравенство ||||||х|+3|-1|+2|-3|-2|≤2

Answer 1

$||||||x|+3|-1|+2|-3|-2|leq2\-2leq|||||x|+3|-1|+2|-3|-2leq2\0leq|||||x|+3|-1|+2|-3|leq4\-4leq||||x|+3|-1|+2|-3leq4\-1leq||||x|+3|-1|+2|leq7\-7leq|||x|+3|-1|+2leq7\-9leq|||x|+3|-1|leq5\-5leq||x|+3|-1leq5\-4leq||x|+3|leq6\-6leq|x|+3leq6\-9leq|x|leq3\-3leq xleq3$

Ответ: $xin [-3; 3]$