Which inequality relating |z| to its real and imaginary parts holds?

Which inequality relating |z| to its real and imaginary parts holds?

A |Re(z)| + |Im(z)| ≥ √2|z|

B √2|z| ≥ |Re(z)| + |Im(z)|

C |z| ≥ |Re(z)| + |Im(z)|

D |z| = |Re(z)| + |Im(z)| for all z

Solution

Correct Answer: Option B