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?
The answer is [-2,-4/3]
I'm not sure how to get there, I just took the quiz and this was the correct answer.