Let Z1 and Z2 be any two complex numbers.
Statement 1: ∣Z1−Z2∣≥∣Z1∣−∣Z2∣
Statement 2: ∣Z1+Z2∣≤∣Z1∣+∣Z2∣
Solutions · 1
Official solution
Both are standard triangle-inequality facts and both are true, but Statement 2 does not directly explain Statement 1 (it's a related but distinct property).