Quiz (1 point)
Prove that:
(a + b) + (b ⋅ (-1)) = a
The following properties may be helpful:
- a + (a ⋅ (-1)) = 0
- a + 0 = a
- a + (b + c) = (a + b) + c
if b + (b ⋅ (-1)) = 0, then a + (b + (b ⋅ (-1))) = a + 0
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- a = c
then b = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.