Question

The region represented by {z = x + iy ∈ C : |z| – Re(z) ≤ 1} is also given by the inequality : 

(1) y² ≥ x + 1 

(2) y² ≥ 2(x + 1) 

(3) y² ≤ x + (1/2) 

(4) y² ≤ 2(x + (1/2))

Answer 1

(4) y² ≤ 2(x + (1/2))

z = x + iy