#### Answer

This statement is true.

#### Work Step by Step

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