Question

Решите неравенство: |1-2х|<5

Answer 1

$|T| textless U textless - textgreater -U textless T textless U\\ |-T|=|T|$

-----------------------------

$|1-2x| textless 5\\ |-(2x-1)| textless 5\\ |2x-1| textless 5\\ -5 textless 2x-1 textless 5\\ -5+1 textless 2x-1+1 textless 5+1\\ -4 textless 2x textless 6\\ -2 textless x textless 6\\ xin(-2; 6)$