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The set of complex numbers is the set of numbers which can be described by a + bi, where a and b are real numbers, and i is the imaginary unit sqrt(-1). Since a and b can be any real number (including zero), the set of real numbers is a subset of the set of complex numbers. Also the set of pure imaginary numbers is a subset of complex number set.
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What is the set c?
It is the set of all complex numbers.
What is a set of commands that automates complex and repetitive actions?
It is an algorithm.
Which is not included in the set of rational numbers?
All irrational numbers, complex number and so on.
Is an imaginary number always sometimes or never a complex number?
Always. The set of imaginary numbers is a subset of complex numbers. Think of complex numbers as a plane (2 dimensional). The real numbers exist on the horizontal axis. The pure imaginary are the vertical axis. All other points on the plane are combinations of real and imaginary. All points on the plane (including imaginary axis and real axis) are complex numbers.
What set of numbers that includes the natural numbers?
The set of integers, of rational numbers, of real numbers, complex numbers and also supersets which contain them.
