Q:

What is the missing reason in the proof?Prove –(–y – x) – x = y–(–y – x) – x = –[–y +(–x)] – xDefinition of subtraction–[–y +(–x)] – x = y + x – xOpposite of a sum propertyy + x – x = y + x + (–x)Definition of subtractiony + x + (–x) = y + [x + (–x)]Associative property of additiony + [x + (–x)] = y + 0Additive inverse propertyy + 0 = y(blank)Answer options for (blank):A. Symmetric PropertyB. Additive Inverse PropertyC. Additive Identity PropertyD. Opposite of a Sum Property

Accepted Solution

A:
Answer:Option C is correct.Step-by-step explanation:The last step is y+0 =yThis represents additive identity property.This property states if zero is added to any number we get the same number.i.e if 0 is added to y then we get y (y+0=y)So, Option C is correct