College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.2 - Real Numbers - P.2 Exercises - Page 16: 40


(a) $y<0$ (b) $z>1$ (c) $b\leq8$ (d) $0 < w \leq 17$ (e) $|y-\pi| \geq 2$

Work Step by Step

(a) Since y is negative, $y<0$ (b) Since z is greater than 1, $z>1$ (c) Since b is at most 8, it's less than or equal to 8: $b\leq8$ (d) w is positive (>0) and is less than or equal to 17, so: $0 < w \leq 17$ (e) Since y is at least 2 units away from $\pi$, their absolute value difference must be greater or equal to 2: $|y-\pi| \geq 2$
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