1. The problem statement, all variables and given/known data Draw an argand diagram to represent the follwing property: real(z) < abs(z) < real(z)+img(z) 2. Relevant equations z = x+iy; real(z) = x abs(z) = sqrt(x^2 + y^2) img(z) = y 3. The attempt at a solution substituting original expression with x, y, and sqrt(x^2 + y^2) two inequalities are obtained: 1. x^2 < x^2 + y^2; which simplifies to y > 0 2. x^2 + y^2 < x^2 + y^2 + 2*x*y which simplifies to x*y > 0 now the solution for the first inequality is clear: all the region in an argand diagram above the x-axis(real axis). the second inequality remains unclear.