Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Section 2.7 Complex Zeros of a Quadratic Function* - 2.7 Assess Your Understanding - Page 177: 5

Answer

$\text{True}$

Work Step by Step

All real numbers are complex numbers as real numbers will not have an imaginary part but complex numbers have an imaginary part and a real part, so real numbers fall under the set of complex numbers. In $a+ib$, $a$ is the real number part while $b$ is the imaginary part . For real numbers, the imaginary part is $0$. Hence, all real numbers are complex numbers.
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