Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.1 - Review of Real Numbers and Their Properties - Exercises - Page 13: 77

Answer

(a). Negative (b). Negative (c). Positive (d). Positive

Work Step by Step

(a). It can be observed from the number line that $A$ is a positive number. If a positive number is multiplied by negative sign, the result is always negative. (b). It can be observed from the number line that $B$ is less than $A$ as $A$ is to the right of $B$ on number line. If a larger number is subtracted from a smaller number, then the result is always less than zero or negative. (c). It can be observed from the number line that $C$ is a negative number. If a negative number is multiplied by negative sign, the result is always positive. (d). $A$ is positive in sign and has greater absolute value greater than $C$. As $A$ is to the right of $C$ on number line and positive, if a smaller number is subtracted from a larger number, then the result is always positive here.
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