Question

ALGEBRA 2- Which property of addition is shown below?

If x = 1 + 2i and y = –1 – 2i, then x + y = 0.

A. commutative property
B identity property
C associative property
D inverse property

Answer 1

D. Inverse property

Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents...

Answer 2

D inverse property

Explanation:

x=1+2i

y=-1-2i

Both x and y are complex numbers with both real and imaginary parts.

x+y = (1+2i) + (-1-2i)

= 1 + 2i - 1 - 2i

= (1 - 1) + (2i-2i)

= 0 + 0 = 0

Since the two given complex numbers add up to 0, this means that each number is the additive inverse of the other.

So x is the inverse of y and y is the inverse of x.

Among the given options, option D , namely, inverse property is the correct one.