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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]
 Apr 24, 2020
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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.

 Apr 24, 2024

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