Question

Which property of addition is shown below?

If x = a + bi and y = –a – bi, x + y = 0.

commutative property
identity property
associative property
inverse property

Answer 1

Option D is correct

inverse property of addition

Explanation:

Inverse property of addition states that :

if a+b = 0 then, a = -b

⇒ a is the additive inverse of b or b is the additive inverse of a.

Given the statement:

If
`x = a+ib` and
`y = -a-bi`

we can write y as:

`y = -(a+bi)`

⇒
`y =-x`

By inverse property of addition we have;

`x+y = x+(-x) = x-x`

⇒
`x+y = 0`

Therefore, Inverse property of addition is used above.

Answer 2

"Inverse property" is the one property of addition among the choices given in the question that is shown below. The correct option among all the options that are given in the question is the fourth option or the last option. I hope that this is the answer that has actually come to your great help.