Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

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


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. $x+y\gt x-y\longrightarrow$ substitute the given values $2+(-3)\overset?\gt 2-(-3)\longrightarrow$ simplify $-1\ /\!\!\!\!\!\gt5$ When y is negative, the inequality is not true.
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