College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding: 22

Answer

(a) $0 \gt -2$ (b) $-8 \gt -10$ (c) $-9 \gt -15$ (d) $6 \lt 10$

Work Step by Step

RECALL: (1) When a real number is added or subtracted to each side of an inequality, the sense/direction of the inequality is not affected. (2) When a negative number is multiplied to each side of an inequality, the sense/direction of the inequality will change. Use the rules above to obtain: (a) Adding 3 to each side of the given inequality: $\begin{array}{ccc} &-3 +3 &\gt &-5+3 \\&0 &\gt &-2 \end{array}$ (b) Subtracting 5 from each side of the given inequality: $\begin{array}{ccc} & -3-5 &\gt &-5-5 \\&-8 &\gt &-10 \end{array}$ (c) Multiplying 3 to each side of the given inequality: $\begin{array}{ccc} &-3(3) &\gt &-5(3) \\&-9 &\gt &-15 \end{array}$ (d) Multiplying $-2$ to each side of the given inequality: $\begin{array}{ccc} &-2(-3) &\lt &-2(-5) \\&6 &\lt &10 \end{array}$
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