Precalculus
Precalculus
9th Edition
ISBN: 9780321716835
Author: Michael Sullivan
Publisher: Addison Wesley
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Concept explainers

Power Operation
Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in re…
Exponents
The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.
Question
Book Icon
Chapter A.7, Problem 7AYU
To determine

To find: Whether the given statement is true or false.

Expert Solution & Answer
Check Mark

Answer to Problem 7AYU

The given statement is true.

Explanation of Solution

Given information:

The given statement is “All real numbers are complex numbers”.

Calculation:

Consider the statement “All real numbers are complex numbers”.

The numbers of the form a+bi are complex numbers.

Here, a and b are real numbers.

For example 4+6i is complex number. Let consider that a be a real number. A real number a can be expressed as a+0i and a complex number bi can be expressed as 0+bi . So every real number is complex number.

It means that the set of real numbers is subset of set of complex numbers.

Therefore, the given statement is true.

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Chapter A.7, Problem 6AYU
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Chapter A.7, Problem 8AYU

Chapter A Solutions

Precalculus

Ch. A.1 - Prob. 1AYUCh. A.1 - Prob. 2AYUCh. A.1 - Prob. 3AYUCh. A.1 - Prob. 4AYUCh. A.1 - Prob. 5AYUCh. A.1 - Prob. 6AYUCh. A.1 - Prob. 7AYUCh. A.1 - Prob. 8AYUCh. A.1 - Prob. 9AYUCh. A.1 - Prob. 10AYU
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A.5 - Prob. 3AYUCh. A.5 - Prob. 4AYUCh. A.5 - Prob. 5AYUCh. A.5 - Prob. 6AYUCh. A.5 - Prob. 7AYUCh. A.5 - Prob. 8AYUCh. A.5 - Prob. 9AYUCh. A.5 - Prob. 10AYUCh. A.5 - Prob. 11AYUCh. A.5 - Prob. 12AYUCh. A.5 - Prob. 13AYUCh. A.5 - Prob. 14AYUCh. A.5 - Prob. 15AYUCh. A.5 - Prob. 16AYUCh. A.5 - Prob. 17AYUCh. A.5 - Prob. 18AYUCh. A.5 - Prob. 19AYUCh. A.5 - Prob. 20AYUCh. A.5 - Prob. 21AYUCh. A.5 - Prob. 22AYUCh. A.5 - Prob. 23AYUCh. A.5 - Prob. 24AYUCh. A.5 - Prob. 25AYUCh. A.5 - Prob. 26AYUCh. A.5 - Prob. 27AYUCh. A.5 - Prob. 28AYUCh. A.5 - Prob. 29AYUCh. A.5 - Prob. 30AYUCh. A.5 - Prob. 31AYUCh. A.5 - Prob. 32AYUCh. A.5 - Prob. 33AYUCh. A.5 - Prob. 34AYUCh. A.5 - Prob. 35AYUCh. A.5 - Prob. 36AYUCh. A.5 - Prob. 37AYUCh. A.5 - Prob. 38AYUCh. A.5 - Prob. 39AYUCh. A.5 - Prob. 40AYUCh. A.5 - Prob. 41AYUCh. A.5 - Prob. 42AYUCh. A.5 - Prob. 43AYUCh. A.5 - Prob. 44AYUCh. A.5 - Prob. 45AYUCh. A.5 - Prob. 46AYUCh. A.5 - Prob. 47AYUCh. A.6 - Prob. 1AYUCh. A.6 - Prob. 2AYUCh. A.6 - Prob. 3AYUCh. A.6 - Prob. 4AYUCh. A.6 - Prob. 5AYUCh. A.6 - Prob. 6AYUCh. A.6 - Prob. 7AYUCh. A.6 - Prob. 8AYUCh. A.6 - Prob. 9AYUCh. A.6 - Prob. 10AYUCh. A.6 - Prob. 11AYUCh. A.6 - Prob. 12AYUCh. A.6 - Prob. 13AYUCh. A.6 - Prob. 14AYUCh. A.6 - Prob. 15AYUCh. A.6 - Prob. 16AYUCh. A.6 - Prob. 17AYUCh. A.6 - Prob. 18AYUCh. A.6 - Prob. 19AYUCh. A.6 - Prob. 20AYUCh. A.6 - Prob. 21AYUCh. A.6 - Prob. 22AYUCh. A.6 - Prob. 23AYUCh. A.6 - Prob. 24AYUCh. A.6 - Prob. 25AYUCh. A.6 - Prob. 26AYUCh. A.6 - Prob. 27AYUCh. A.6 - Prob. 28AYUCh. A.6 - Prob. 29AYUCh. A.6 - Prob. 30AYUCh. A.6 - Prob. 31AYUCh. A.6 - Prob. 32AYUCh. A.6 - Prob. 33AYUCh. A.6 - Prob. 34AYUCh. A.6 - Prob. 35AYUCh. A.6 - Prob. 36AYUCh. A.6 - Prob. 37AYUCh. A.6 - Prob. 38AYUCh. A.6 - Prob. 39AYUCh. A.6 - Prob. 40AYUCh. A.6 - Prob. 41AYUCh. A.6 - Prob. 42AYUCh. A.6 - Prob. 43AYUCh. A.6 - Prob. 44AYUCh. A.6 - Prob. 45AYUCh. A.6 - Prob. 46AYUCh. A.6 - Prob. 47AYUCh. A.6 - Prob. 48AYUCh. A.6 - Prob. 49AYUCh. A.6 - Prob. 50AYUCh. 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A.7 - Prob. 11AYUCh. A.7 - Prob. 12AYUCh. A.7 - Prob. 13AYUCh. A.7 - Prob. 14AYUCh. A.7 - Prob. 15AYUCh. A.7 - Prob. 16AYUCh. A.7 - Prob. 17AYUCh. A.7 - Prob. 18AYUCh. A.7 - Prob. 19AYUCh. A.7 - Prob. 20AYUCh. A.7 - Prob. 21AYUCh. A.7 - Prob. 22AYUCh. A.7 - Prob. 23AYUCh. A.7 - Prob. 24AYUCh. A.7 - Prob. 25AYUCh. A.7 - Prob. 26AYUCh. A.7 - Prob. 27AYUCh. A.7 - Prob. 28AYUCh. A.7 - Prob. 29AYUCh. A.7 - Prob. 30AYUCh. A.7 - Prob. 31AYUCh. A.7 - Prob. 32AYUCh. A.7 - Prob. 33AYUCh. A.7 - Prob. 34AYUCh. A.7 - Prob. 35AYUCh. A.7 - Prob. 36AYUCh. A.7 - Prob. 37AYUCh. A.7 - Prob. 38AYUCh. A.7 - Prob. 39AYUCh. A.7 - Prob. 40AYUCh. A.7 - Prob. 41AYUCh. A.7 - Prob. 42AYUCh. A.7 - Prob. 43AYUCh. A.7 - Prob. 44AYUCh. A.7 - Prob. 45AYUCh. A.7 - Prob. 46AYUCh. A.7 - Prob. 47AYUCh. A.7 - Prob. 48AYUCh. A.7 - Prob. 49AYUCh. A.7 - Prob. 50AYUCh. A.7 - Prob. 51AYUCh. A.7 - Prob. 52AYUCh. A.7 - Prob. 53AYUCh. A.7 - Prob. 54AYUCh. A.7 - Prob. 55AYUCh. A.7 - Prob. 56AYUCh. A.7 - Prob. 57AYUCh. A.7 - Prob. 58AYUCh. A.7 - Prob. 59AYUCh. A.7 - Prob. 60AYUCh. A.7 - Prob. 61AYUCh. A.7 - Prob. 62AYUCh. A.7 - Prob. 63AYUCh. A.7 - Prob. 64AYUCh. A.7 - Prob. 65AYUCh. A.7 - Prob. 66AYUCh. A.7 - Prob. 67AYUCh. A.7 - Prob. 68AYUCh. A.7 - Prob. 69AYUCh. A.7 - Prob. 70AYUCh. A.7 - Prob. 71AYUCh. A.7 - Prob. 72AYUCh. A.7 - Prob. 73AYUCh. A.7 - Prob. 74AYUCh. A.7 - Prob. 75AYUCh. A.7 - Prob. 76AYUCh. A.7 - Prob. 77AYUCh. A.7 - Prob. 78AYUCh. A.7 - Prob. 79AYUCh. A.7 - Prob. 80AYUCh. A.7 - Prob. 81AYUCh. A.7 - Prob. 82AYUCh. A.7 - Prob. 83AYUCh. A.7 - Prob. 84AYUCh. A.7 - Prob. 85AYUCh. A.7 - Prob. 86AYUCh. A.7 - Prob. 87AYUCh. A.7 - Prob. 88AYUCh. A.7 - Prob. 89AYUCh. A.7 - Prob. 90AYUCh. A.7 - Prob. 91AYUCh. A.7 - Prob. 92AYUCh. A.7 - Prob. 93AYUCh. A.7 - Prob. 94AYUCh. A.8 - Prob. 1AYUCh. A.8 - Prob. 2AYUCh. A.8 - Prob. 3AYUCh. A.8 - Prob. 4AYUCh. A.8 - Prob. 5AYUCh. A.8 - Prob. 6AYUCh. A.8 - Prob. 7AYUCh. A.8 - Prob. 8AYUCh. A.8 - Prob. 9AYUCh. A.8 - Prob. 10AYUCh. A.8 - Prob. 11AYUCh. A.8 - Prob. 12AYUCh. A.8 - Prob. 13AYUCh. A.8 - Prob. 14AYUCh. A.8 - Prob. 15AYUCh. A.8 - Prob. 16AYUCh. A.8 - Prob. 17AYUCh. A.8 - Prob. 18AYUCh. A.8 - Prob. 19AYUCh. A.8 - Prob. 20AYUCh. A.8 - Prob. 21AYUCh. A.8 - Prob. 22AYUCh. A.8 - Prob. 23AYUCh. A.8 - Prob. 24AYUCh. A.8 - Prob. 25AYUCh. A.8 - Prob. 26AYUCh. A.8 - Prob. 27AYUCh. A.8 - Prob. 28AYUCh. A.8 - Prob. 29AYUCh. A.8 - Prob. 30AYUCh. A.8 - Prob. 31AYUCh. A.8 - Prob. 32AYUCh. A.8 - Prob. 33AYUCh. A.8 - Prob. 34AYUCh. A.8 - Prob. 35AYUCh. A.8 - Prob. 36AYUCh. A.8 - Prob. 37AYUCh. A.8 - Prob. 38AYUCh. A.8 - Prob. 39AYUCh. A.8 - Prob. 40AYUCh. A.8 - Prob. 41AYUCh. A.8 - Prob. 42AYUCh. A.8 - Prob. 43AYUCh. A.8 - Prob. 44AYUCh. A.8 - Prob. 45AYUCh. A.8 - Prob. 46AYUCh. A.8 - Prob. 47AYUCh. A.8 - Prob. 48AYUCh. A.8 - Prob. 49AYUCh. A.8 - Prob. 50AYUCh. A.8 - Prob. 51AYUCh. A.8 - Prob. 52AYUCh. A.8 - Prob. 53AYUCh. A.8 - Prob. 54AYUCh. A.8 - Prob. 55AYUCh. A.8 - Prob. 56AYUCh. A.8 - Prob. 57AYUCh. A.8 - Prob. 58AYUCh. A.8 - Prob. 59AYUCh. A.8 - Prob. 60AYUCh. A.8 - Prob. 61AYUCh. A.9 - Prob. 1AYUCh. A.9 - Prob. 2AYUCh. A.9 - Prob. 3AYUCh. A.9 - Prob. 4AYUCh. A.9 - Prob. 5AYUCh. A.9 - Prob. 6AYUCh. A.9 - Prob. 7AYUCh. A.9 - Prob. 8AYUCh. A.9 - Prob. 9AYUCh. A.9 - Prob. 10AYUCh. A.9 - Prob. 11AYUCh. A.9 - Prob. 12AYUCh. A.9 - Prob. 13AYUCh. A.9 - Prob. 14AYUCh. A.9 - Prob. 15AYUCh. A.9 - Prob. 16AYUCh. A.9 - Prob. 17AYUCh. A.9 - Prob. 18AYUCh. A.9 - Prob. 19AYUCh. A.9 - Prob. 20AYUCh. A.9 - Prob. 21AYUCh. A.9 - Prob. 22AYUCh. A.9 - Prob. 23AYUCh. A.9 - Prob. 24AYUCh. A.9 - Prob. 25AYUCh. A.9 - Prob. 26AYUCh. A.9 - Prob. 27AYUCh. A.9 - Prob. 28AYUCh. A.9 - Prob. 29AYUCh. A.9 - Prob. 30AYUCh. A.9 - Prob. 31AYUCh. A.9 - Prob. 32AYUCh. A.9 - Prob. 33AYUCh. A.9 - Prob. 34AYUCh. A.9 - Prob. 35AYUCh. A.9 - Prob. 36AYUCh. A.9 - Prob. 37AYUCh. A.9 - Prob. 38AYUCh. A.9 - Prob. 39AYUCh. A.9 - Prob. 40AYUCh. A.9 - Prob. 41AYUCh. A.9 - Prob. 42AYUCh. A.9 - Prob. 43AYUCh. A.9 - Prob. 44AYUCh. A.9 - Prob. 45AYUCh. A.9 - Prob. 46AYUCh. A.9 - Prob. 47AYUCh. A.9 - Prob. 48AYUCh. A.9 - Prob. 49AYUCh. A.9 - Prob. 50AYUCh. A.9 - Prob. 51AYUCh. A.9 - Prob. 52AYUCh. A.9 - Prob. 53AYUCh. A.9 - Prob. 54AYUCh. A.9 - Prob. 55AYUCh. A.9 - Prob. 56AYUCh. A.9 - Prob. 57AYUCh. A.9 - Prob. 58AYUCh. A.9 - Prob. 59AYUCh. A.9 - Prob. 60AYUCh. A.9 - Prob. 61AYUCh. A.9 - Prob. 62AYUCh. A.9 - Prob. 63AYUCh. A.9 - Prob. 64AYUCh. A.9 - Prob. 65AYUCh. A.9 - Prob. 66AYUCh. A.9 - Prob. 67AYUCh. A.9 - Prob. 68AYUCh. A.9 - Prob. 69AYUCh. A.9 - Prob. 70AYUCh. A.9 - Prob. 71AYUCh. A.9 - Prob. 72AYUCh. A.9 - Prob. 73AYUCh. A.9 - Prob. 74AYUCh. A.9 - Prob. 75AYUCh. A.9 - Prob. 76AYUCh. A.9 - Prob. 77AYUCh. A.9 - Prob. 78AYUCh. A.9 - Prob. 79AYUCh. A.9 - Prob. 80AYUCh. A.9 - Prob. 81AYUCh. A.9 - Prob. 82AYUCh. A.9 - Prob. 83AYUCh. A.9 - Prob. 84AYUCh. A.9 - Prob. 85AYUCh. A.9 - Prob. 86AYUCh. A.9 - Prob. 87AYUCh. A.9 - Prob. 88AYUCh. A.9 - Prob. 89AYUCh. A.9 - Prob. 90AYUCh. A.9 - Prob. 91AYUCh. A.9 - Prob. 92AYUCh. A.9 - Prob. 93AYUCh. A.9 - Prob. 94AYUCh. A.9 - Prob. 95AYUCh. A.9 - Prob. 96AYUCh. A.9 - Prob. 97AYUCh. A.9 - Prob. 98AYUCh. A.9 - Prob. 99AYUCh. A.9 - Prob. 100AYUCh. A.9 - Prob. 101AYUCh. A.9 - Prob. 102AYUCh. A.9 - Prob. 103AYUCh. A.9 - Prob. 104AYUCh. A.9 - Prob. 105AYUCh. A.9 - Prob. 106AYUCh. A.9 - Prob. 107AYUCh. A.9 - Prob. 108AYUCh. A.9 - Prob. 109AYUCh. A.9 - Prob. 110AYUCh. A.9 - Prob. 111AYUCh. A.9 - Prob. 112AYUCh. A.9 - Prob. 113AYUCh. A.9 - Prob. 114AYUCh. A.9 - Prob. 115AYUCh. A.9 - Prob. 116AYUCh. A.9 - Prob. 117AYUCh. A.9 - Prob. 118AYUCh. A.9 - Prob. 119AYUCh. A.9 - Prob. 120AYUCh. A.9 - Prob. 121AYUCh. A.9 - Prob. 122AYUCh. A.9 - Prob. 123AYUCh. A.9 - Prob. 124AYUCh. A.9 - Prob. 125AYUCh. A.9 - Prob. 126AYUCh. A.9 - Prob. 127AYUCh. A.9 - Prob. 128AYUCh. A.9 - Prob. 129AYUCh. A.9 - Prob. 130AYUCh. A.9 - Prob. 131AYUCh. A.10 - Prob. 1AYUCh. A.10 - Prob. 2AYUCh. A.10 - Prob. 3AYUCh. A.10 - Prob. 4AYUCh. A.10 - Prob. 5AYUCh. A.10 - Prob. 6AYUCh. A.10 - Prob. 7AYUCh. A.10 - Prob. 8AYUCh. A.10 - Prob. 9AYUCh. A.10 - Prob. 10AYUCh. A.10 - Prob. 11AYUCh. A.10 - Prob. 12AYUCh. A.10 - Prob. 13AYUCh. A.10 - Prob. 14AYUCh. A.10 - Prob. 15AYUCh. A.10 - Prob. 16AYUCh. A.10 - Prob. 17AYUCh. A.10 - Prob. 18AYUCh. A.10 - Prob. 19AYUCh. A.10 - Prob. 20AYUCh. A.10 - Prob. 21AYUCh. A.10 - Prob. 22AYUCh. A.10 - Prob. 23AYUCh. A.10 - Prob. 24AYUCh. A.10 - Prob. 25AYUCh. A.10 - Prob. 26AYUCh. A.10 - Prob. 27AYUCh. A.10 - Prob. 28AYUCh. A.10 - Prob. 29AYUCh. A.10 - Prob. 30AYUCh. A.10 - Prob. 31AYUCh. A.10 - Prob. 32AYUCh. A.10 - Prob. 33AYUCh. A.10 - Prob. 34AYUCh. A.10 - Prob. 35AYUCh. A.10 - Prob. 36AYUCh. A.10 - Prob. 37AYUCh. A.10 - Prob. 38AYUCh. A.10 - Prob. 39AYUCh. A.10 - Prob. 40AYUCh. A.10 - Prob. 41AYUCh. A.10 - Prob. 42AYUCh. A.10 - Prob. 43AYUCh. A.10 - Prob. 44AYUCh. A.10 - Prob. 45AYUCh. A.10 - Prob. 46AYUCh. A.10 - Prob. 47AYUCh. A.10 - Prob. 48AYUCh. A.10 - Prob. 49AYUCh. A.10 - Prob. 50AYUCh. A.10 - Prob. 51AYUCh. A.10 - Prob. 52AYUCh. A.10 - Prob. 53AYUCh. A.10 - Prob. 54AYUCh. A.10 - Prob. 55AYUCh. A.10 - Prob. 56AYUCh. A.10 - Prob. 57AYUCh. A.10 - Prob. 58AYUCh. A.10 - Prob. 59AYUCh. A.10 - Prob. 60AYUCh. A.10 - Prob. 61AYUCh. A.10 - Prob. 62AYUCh. A.10 - Prob. 63AYUCh. A.10 - Prob. 64AYUCh. A.10 - Prob. 65AYUCh. A.10 - Prob. 66AYUCh. A.10 - Prob. 67AYUCh. A.10 - Prob. 68AYUCh. A.10 - Prob. 69AYUCh. A.10 - Prob. 70AYUCh. A.10 - Prob. 71AYUCh. A.10 - Prob. 72AYUCh. A.10 - Prob. 73AYUCh. A.10 - Prob. 74AYUCh. A.10 - Prob. 75AYUCh. A.10 - Prob. 76AYUCh. A.10 - Prob. 77AYUCh. A.10 - Prob. 78AYUCh. A.10 - Prob. 79AYUCh. A.10 - Prob. 80AYUCh. A.10 - Prob. 81AYUCh. A.10 - Prob. 82AYUCh. A.10 - Prob. 83AYUCh. A.10 - Prob. 84AYUCh. A.10 - Prob. 85AYUCh. A.10 - Prob. 86AYUCh. A.10 - Prob. 87AYUCh. A.10 - Prob. 88AYUCh. A.10 - Prob. 89AYUCh. A.10 - Prob. 90AYUCh. A.10 - Prob. 91AYUCh. A.10 - Prob. 92AYUCh. A.10 - Prob. 93AYUCh. A.10 - Prob. 94AYUCh. A.10 - Prob. 95AYUCh. A.10 - Prob. 96AYUCh. A.10 - Prob. 97AYUCh. A.10 - Prob. 98AYUCh. A.10 - Prob. 99AYUCh. A.10 - Prob. 100AYUCh. A.10 - Prob. 101AYUCh. A.10 - Prob. 102AYUCh. A.10 - Prob. 103AYUCh. A.10 - Prob. 104AYUCh. A.10 - Prob. 105AYUCh. A.10 - Prob. 106AYUCh. A.10 - Prob. 107AYUCh. A.10 - Prob. 108AYUCh. A.10 - Prob. 109AYUCh. A.10 - Prob. 110AYUCh. A.10 - Prob. 111AYUCh. A.10 - Prob. 112AYUCh. A.10 - Prob. 113AYUCh. A.10 - Prob. 114AYUCh. A.10 - Prob. 115AYUCh. A.10 - Prob. 116AYUCh. A.10 - Prob. 117AYU

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