noahbred
  • noahbred
please explain? What is the missing reason in the 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) Definition of subtraction y + x + (–x) = y + [x + (–x)] Associative Property of Addition y + [x + (–x)] = y + 0 Additive Inverse Property y + 0 = y ________________________ A. Symmetric Property B. Additive Inverse Property C. Additive Identity Property D. Opposite of a Sum Property
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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whpalmer4
  • whpalmer4
Hint: \(x*1 = x\) is an identity.
noahbred
  • noahbred
umm i am not sure D?
Curry
  • Curry
For the 4 answer choices, can you explain them? If you know what each of those properties do, then you should be able to answer this yourself. and we can confirm the answer and guide you if you get stuck.

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whpalmer4
  • whpalmer4
You are guessing D: Opposite of a Sum property in the equation \[y +0 = y\]I see a sum, but I don't see an opposite. What makes you think that would be a good guess?
whpalmer4
  • whpalmer4
Earlier in the proof, they do use the opposite of a sum property: \(–[–y +(–x)] – x = y + x – x\) Opposite of a sum property but that doesn't look anything like what we have in the mystery line and now someone has given away the answer...
Pawanyadav
  • Pawanyadav
Remember. ....Zero is additive identity And 1 is multiplicative identity.
noahbred
  • noahbred
C
Pawanyadav
  • Pawanyadav
Yes
whpalmer4
  • whpalmer4
Yes, the additive identity property is why \[y+0 = y\]is a justifiable step in the proof.
noahbred
  • noahbred
thanks m80
whpalmer4
  • whpalmer4
It would be very good if you could look at all of those reasons and understand what they mean...
noahbred
  • noahbred
i do know
whpalmer4
  • whpalmer4
could you give me an example of the symmetric property?

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