## College Algebra (10th Edition)

RECALL: The Addition Property of Inequality states that if $a \lt b$, then $a+c \lt b+c$. The given inequality can be written as: $a+(-c) \lt b+ (-c)$ Thus, using the Addition Property of Inequality, if $a \lt b$, then $a+(-c) \lt b+(-c)$. Therefore, the given statement is true.