Question

Provide the reason for Step 4 in the following proof.

A) Additive Inverse Property

B) Commutative Property of Addition

C)Definition of Subtraction

D)Identity Property of Addition

Prove :

Answer 1

Answer:

The Correct option is

A) Additive Inverse Property .

Step-by-step explanation:

Identity Property of Addition :

In math, an identity is a number, n, that when added to other numbers, gives the same number, n.

The additive identity is always zero.

This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself.

Statement                                      Reasons

1. -(a+b)+a = -a+(-b)+a                   1.Distributive Property

                = -a+a+(-b)                    2.Commutative Property of Addition

                = 0+(-b)                         3. Additive Inverse Property

                = -b                               4. Identity Property of Addition