Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 213: 81


Always true

Work Step by Step

If either a or b are negative, $abs(a/b)$ will have a negative number inside of the absolute value sign. The absolute value of a negative number is -1*the negative number (a positive number). $abs(a)/abs(b)$, assuming either a or b are negative, would have either a positive number divided by a negative number or a negative number divided by a positive number (within the absolute value signs). After finding the absolute value of a and b, we would have a positive number.
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