Processing Math: Done

Aus Online Mathematik Brückenkurs 2

The inequality 0RezImz1 is actually several inequalities:

• 0Rez1,
• 0Imz1,
• RezImz.

The first two inequalities in this list define the unit square in the complex number plane.

The last inequality says that the real part of z should be less than or equal to the imaginary part of z, i.e. z should lie to the left of the line y=x if x=Rez and y=Imz.

All together, the inequalities define the region which the unit square and the half-plane have in common: a triangle with corner points at 0, i and 1+i.