Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises - Page 177: 76

Answer

Not true for all real numbers

Work Step by Step

The following counterexample shows that the inequality is not true for all real numbers. Let x=2 and let y=-3. x+y>x−y⟶ substitute the given values 2+(−3)>?2−(−3)⟶ simplify −1 />5 When y is negative, the inequality is not true.
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