1. We are given the condition $x \geq y$ and want to analyze which of the options correctly completes the statement $x - z \geq$ something. 2. Since $x \geq y$, subtracting $z$ from both sides keeps the inequality direction the same: $$x - z \geq y - z$$ 3. Let's analyze each option: a. $x - z$ (this would be $x - z \geq x - z$, which is trivially true but not informative) b. $y - x$ (since $x \geq y$, $y - x \leq 0$, so not necessarily true that $x - z \geq y - x$) c. $y - z$ (matches our direct deduction from step 2 and is always true) d. $yx - z$ (product $yx$ is unrelated to the inequality; no guarantee of this form) 4. Therefore, the correct inequality derived from $x \geq y$ is: $$x - z \geq y - z$$ Final answer: c. $\geq y - z$