Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises: 2

Answer

(a) $ a \lt b $ (d) $ 3a \lt 3b $ (f) $ \frac{1}{a} \lt \frac{1}{b} $

Work Step by Step

(a) $ -3 \lt 2 $, True (b) $|-3| \lt |2| $, so $ 3 \lt 2 $, False (c) $(-3 \times 2) \gt 0 $, so $-6 \gt 0$, False (d) $(3 \times -3) \lt (3 \times 2)$, so $-9 \lt 6$, True (e) $(-4 \times -3) \lt (-4 \times 2)$, so $12 \lt -8$, False (f) $ -\frac{1}{3} \lt \frac{1}{2} $, True
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