Tg(1-2х)<1 найти решение

Question

Tg(1-2х)<1 найти решение

Answer 1

tg(1-2х)<1 <br>-π/2+πn < 1-2x < π/4 +πn, n∈Z
-π/2-1+πn < -2x < π/4 -1+πn, n∈Z
π/4+1/2-πn/2 > x > -π/8 +1/2-πn/2, n∈Z
-π/8+1/2-πn/2 < x < π/4+1/2-πn/2 < n∈Z
x∈(-π/8+1/2-πn/2;  π/4+1/2-πn/2), n∈Z