Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 88: 5

Answer

a) No b) No

Work Step by Step

a) There are a couple of ways of proving this, but the easiest way would be to find a counter example. And there are infinitely many. For example, let x= -2, so we have $-2 (-2 +1 ) \gt 0 $ which is equal to $ -2 \times -1 = 2 \gt 0 $. This is a counter example. The equation is still true when x is a negative number b) The same way as before, let's find a counterexample. Let x = -6, $-6 (-6 +1 ) \gt 0 $ which equals $-6 \times -5 = 30 \gt0 $.
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