True or false..

Question

Use deductive reasoning to tell whether each  statement is true or false. if its false give counter example.

For all real numbers A and B, A-B= -B+A.

Answer 1

A-B=-B+A

Proof

A-B=A+(-B)         rule for subtraction

A+(-B)=(-B)+A    commutative property for addition

A-B=(-B)+A         transitive property of equality