Prove
| z - Re(z) | <= | z - x |
for all real numbers x, draw a sketch to illustrate the result.
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really confused on what to do here. Even after seeing the sketched solution I'm not sure how they got there.
if I let z = x + iy then Re(z) = x and i just get the statement
| iy | >= | iy |
which doesn't really help me much. As far as I can see anyway.
thanks for any help
| z - Re(z) | <= | z - x |
for all real numbers x, draw a sketch to illustrate the result.
-----------------------------------------------------------------------------------------
really confused on what to do here. Even after seeing the sketched solution I'm not sure how they got there.
if I let z = x + iy then Re(z) = x and i just get the statement
| iy | >= | iy |
which doesn't really help me much. As far as I can see anyway.
thanks for any help