1. The problem statement, all variables and given/known data Sketch the closure of the set:Re(1/z)=< 1/2 [ b]2. Relevant equations[/b] 3. The attempt at a solution Re(1/z)=Re(1/(x+iy) Re(1/(x+iy))=< 1/2. Not really sure how to sketch 1/2 on a complex plane. Maybe 1/2 can be written in a complex form: 1/2= (1/2)+(0)*i=1/2 and therefore , 1/2 only lies exclusively on the x-axis. Not even entirely sure how to sketch the Re(1/z) on a complex plane. Generally, Re(z)=x and therefore would Re(1/z)=1/x?