Find all values of x in the interval [0, 2𝜋] that satisfy the inequality. (Enter your answer using interval notation.) −9 < 9 tan(x) < 9

Answer 1

-9 <9tanx <9

divide by 9

-1 < tanx < 1

0<x < pi/4,

and 3pi/4 < 5pi/4

and 7pi/4<2pi

x is an element in the intervals (0, pi/4) U (3pi/4, 5pi/4) U (7pi/4 < 2pi)