Question

Решите уравнение 2х -3| = 3 - 2х​

Answer 1

$\boxed{\ |A|=\left\{\begin{array}{ccc}A\ ,\ esli\ A>0\ ,\\0\ ,\ esli\ A=0\ ,\\-A\ ,\ esli\ A<0\ .\end{array}\right\ }\\\\\\\\|2x-3|=3-2x\ \ \ \Rightarrow \ \ \ |2x-3|=-(2x-3)\ \ \ \Rightarrow \ \ (2x-3)\leq 0\ \ ,\\\\2x\leq 3\ \ ,\ \ x\leq 1,5\\\\x\in (-\infty \, ;\, 1,5\, ]$