P and q are complex numbers such that |p| = 2/5x + 2, |q| = −3/4x − 1 , and |p+q| = 2x + 4 .
On what interval must x fall?
a) [-2, -4/3]
b) (-∞, -4/3]
c) [-2, ∞)
d) [-4/3, -60/47]
I got the first one, but I don't know if it's right. If someone could help, that would be greatly appreciated!