Quiz (1 point)
Given that:
not (a = 0)
not (b = 0)
Prove that:
(a ⋅ (1 / a)) ⋅ (b ⋅ (1 / b)) = 1
The following properties may be helpful:
- a ⋅ 1 = a
if not (s = 0), then s ⋅ (1 / s) = 1
if not (s = 0), then s ⋅ (1 / s) = 1
if a ⋅ (1 / a) = 1, then (a ⋅ (1 / a)) ⋅ (b ⋅ (1 / b)) = 1 ⋅ (b ⋅ (1 / b))
if b ⋅ (1 / b) = 1, then 1 ⋅ (b ⋅ (1 / b)) = 1 ⋅ 1
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = 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.