Question

If a and b are real numbers and a < b, is the statement a + c > b + c true? Why or why not?

Answer 1

No, because a<b and you are adding C to both sides.
For example, lets say that A=1, B=2 and C=5
A+C < B+C
1+5 < 2+5
6 < 7
Regardless which numbers you plug in the answer will always be the same as long as A<B

Answer 2

Thanks.