Assume that a, b, and c are real numbers. If a > b, and (a + c) > (b + c), then what is true of c?

Problem:

"Assume that a, b, and c are real numbers. If a > b, and (a + c) > (b + c), then what is true of c?"

c can be any real number. There is no other conclusion we can come to. This is simply the addition property of inequality.

Step-by-step explanation:

c is a real number. We can not know if it is  positive or negative

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative