A, B and C are integers. If B is greater than A, then the sum of A and B will always produce a solution C with the same sign as B. True or false?

This would be false because it will depend on the actual values of both a and b, including if they are positive or negative.

This is true.

For example:

B = - 6

A = - 9

A + B = C = - 6 + - 9 = - 15.

The value is C has the same sign as B.

B = 2

A = - 5

A + B = - 5 + 2 = - 3.

Here The sign for C does not match the sign for B, which is positive.