If z1, z2 ∈ C then which statement is true:(A) |z1 – z2| ≥ |z1

1.	If z1, z2 ∈ C then which statement is true:(A) \|z1 – z2\| ≥ \|z1\| + \|z2\|(B) \|z1 – z2\| ≤ \|z1\| + \|z2\|(C) \|z1 + z2\| ≥ \|z1 – z2\|(D) \|z1 + z2\| ≤ \|z1 – z2\|
Answer» Answer is (B) statement \|z₁ – z₂\| ≤ \|z₁\| + \|z₂\| is true.

If z1, z2 ∈ C then which statement is true:(A) |z1 – z2| ≥ |z1| + |z2|(B) |z1 – z2| ≤ |z1| + |z2|(C) |z1 + z2| ≥ |z1 – z2|(D) |z1 + z2| ≤ |z1 – z2|

Answer»

Answer is (B)

statement |z₁ – z₂| ≤ |z₁| + |z₂| is true.