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

Inverse property of addition

a + (-a) = 0

x = a + bi

y = -a - bi = -(a + bi) = -x

x + y = x + (-x) = 0

inverse property

Option D is correct.

Inverse property of addition

Step-by-step explanation:

Inverse Property of Addition states that any number added to its opposite will equal zero.

i,e

a+(-a) = 0

Given: If x = a+bi and y = -a-bi

we can write y as:

y = -a-ib = -(a+ib) = - x

x+y = x + (-x) = 0                         [by inverse property of addition]

Therefore, the property of addition shown is, Inverse property of Addition.