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Thanks for replying thanks a lot.Modulus of (z-u) being less than 2 is basically a circle with center u of radius 2 and the wanted region is whats inside the circle because its less than.
Re z>2 means real part must be bigger than 2 so the x value of the complex number on the argand diagram must be greater than 2 so draw the line x=2 and the final shaded region should be
The region inside the circle that is to the right of line x=2