## Thinking Mathematically (6th Edition)

RECALL: Subtraction is defined as: $a-b = a+(-b)$. This means that when $a=0$ and $b \lt 0$, $0-b = 0+(-b)=-b$ Since, $b\lt 0$, then $-b \gt 0$ Thus, the difference of $0$ and any negative integer is always a positive integer. Therefore, the given statement is true.