Chapter 8.3, Problem 28E

To determine

To calculate: To sketch the set of complex numbers on the same complex plane

Answer to Problem 28E

Graph for set of complex numbers is sketched on complex plane

Explanation of Solution

Given information: Set of complex numbers is $\left\{z=a+bi|a\ge b\right\}$

Formula Used:

Complex number is a number that can be expressed in the form of $a+bi$ , where $a$ and $b$ are real numbers

  $z=a+bi$

Calculation:

Set of complex numbers is given as

  $\left\{z=a+bi|a\ge b\right\}$

Here, given that

  $a\ge b$

This is set of complex number such real part is greater than equal to imaginary part

In order to plot the inequality, plot the line $a=b$ using a solid line

Here, line represents the points that are included

  

Conclusion:

Hence, set of complex numbers are sketched