Question

40Б) помогите с решением

Answer 1

$tg(4x-frac{pi }{6})leq0\\-frac{pi }{2}+pi nleq4x-frac{pi }{6}<pi n,nin Z\\-frac{pi }{2}+frac{pi }{6}+pi nleq4x<frac{pi }{6}+pi n,nin Z\\-frac{pi }{3}+pi nleq4x<frac{pi }{6}+pi n,nin Z\\-frac{pi }{12} +frac{pi n }{4}leq xleqx <frac{pi }{24}+frac{pi n }{4},nin Z\\xin[-frac{pi }{12} +frac{pi n }{4};frac{pi }{24}+frac{pi n }{4}),nin Z$