Quiz (1 point)
Prove that:
a + ((-1) ⋅ a) = 0
The following properties may be helpful:
- a + (a ⋅ (-1)) = 0
- a ⋅ b = b ⋅ a
if a ⋅ (-1) = (-1) ⋅ a, then a + (a ⋅ (-1)) = a + ((-1) ⋅ a)
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.