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?

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?

 

• [−2,−4/3]
• [−2,∞)
• [−4/3,−60/47]
• (−∞,−4/3]