It is given that
$$y = ( 1 + 2 \cos x ) \cos 2 x \quad \text { for } 0 < x < \pi$$
The complete set of values of $x$ for which $y$ is negative is
A $0 < x < \frac { \pi } { 4 } , \frac { 2 \pi } { 3 } < x < \frac { 3 \pi } { 4 }$
B $0 < x < \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } < x < \pi$
C $0 < x < \frac { 2 \pi } { 3 } , \frac { 3 \pi } { 4 } < x < \pi$
D $\frac { \pi } { 4 } < x < \frac { 2 \pi } { 3 } , \frac { 3 \pi } { 4 } < x < \pi$
E $\frac { \pi } { 4 } < x < \frac { 2 \pi } { 3 }$
F $\frac { \pi } { 4 } < x < \frac { 3 \pi } { 4 }$