Решите неравенство 0<|x-5|<1

Question

Решите неравенство 0<|x-5|<1

Answer 1

0<|x-5|<1<br>{|x-5}>0
{|x-5}<1<br>
|x-5|>0                             |x-5|<1<br>x∈(-∞;5)U(5;+∞)               -1                                       -1+5                                       4
______________4  /////////////// 5 ///////////////6 _______________
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Ответ: x∈(4;5)U(5;6)