Question

The set of complex numbers is the set of all numbers of the form a bi, where a and b are positive numbers and i=√-1.

Options:
a) The set includes only real numbers.
b) The set includes only imaginary numbers.
c) The set includes both real and imaginary numbers.
d) The set is empty.

Answer 1

The set of complex numbers includes both real and imaginary numbers.

Step-by-step explanation:

The set of complex numbers is the set of all numbers of the form a + bi, where a and b are real numbers and i represents the imaginary unit (i = √-1). The set of complex numbers includes both real and imaginary numbers. Real numbers are simply numbers that do not involve the imaginary unit, while imaginary numbers are numbers that involve the imaginary unit. Complex numbers combine the real and imaginary parts together.