Chapter 5 - Number Theory and the Real Number System - 5.2 The Integers; Order of Operations - Concept and Vocabulary Check - Page 269: 6

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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.