Sketching in the Complex Plane Using a TI-nspire CX 11

Let be the region of the complex plane where the inequalities and hold simultaneously.

First find the Cartesian equations.

Finding the symbols The is found under Menu – Number – Complex Number Tools – Complex Conjugate

Second, sketch each of the functions.

The section that is shaded twice is our region.

Determine the minimum value of in .

We can find the point of intersection between the circle and the line.

Or if you want exact values

Use the Solve Systems of Equations tool – Menu – Algebra – Solve Systems of Equations – Solve Systems of Equations.