Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises - Page 176: 72

This statement is true.

Rearrange the inequality to make -w and $w\lt z$ Subtract w from both sides $w-w\lt z-w$ $0\lt z-w$ Subtract z from both sides $-z\lt z-z-w$ $-z\lt -w$ Add x to both sides $x-z\lt x-w$ Switch items on both sides and change the inequality sign. This can also be written as: $x-w\gt x-z$ The statement is true