Answer
True for all real numbers
Work Step by Step
Let $w < z$.
$w -z$
$-w+x > -z + x$ (adding x to both sides)
$x-w > x - z$ (rearranging the variables)
This is true, so the original statement is true for all real numbers.
Algebra 1
by Hall, Prentice
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: 78
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