Question

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Answer 1

Provide the missing reason in the following proof.


Prove –(–y – x) – x = y
Statements Reasons
–(–y – x) – x = –[–y +(–x)] – x Definition of subtraction
–[–y +(–x)] – x = y + x – x Opposite of a sum property
y + x – x = y + x + (–x) ________________________
y + x + (–x) = y + [x + (–x)] Associative Property of Addition
y + [x + (–x)] = y + 0 Additive Inverse Property
y + 0 = y Additive Identity Property



(Points : 4)
Definition of Subtraction
Additive Inverse Property
Additive Identity Property
Opposite of a Sum Property

Answer 2

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Answer 3

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Answer 4

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Answer 5

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Answer 6

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Answer 7

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Answer 8

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