Question

Which property of addition is shown below?

If x= a + bi and y=-a-bi, x + y = 0.
O commutative property
identity property
associative property
inverse property

Answer 1

Answer: Last option

inverse property

Explanation:

The property of the inverse sum says that if we have a number b and we add it with its negative -b then

`b - b = 0`

In this case we have that:

`x = a + bi`

and

`y = -b - bi`

Note that

`y = -x`

Therefore:

`x + y = x -x= a + bi - a - bi = 0`

the answer is the last option