What is the correct reason for statement 6 in the proof?
Given
Identity Property of Multiplication
Symmetric Property of Equality
Transitive Property Of Equality

- anonymous

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- anonymous

One last one. I know it isnt A for sure.
@NobodysSalvation

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- NobodysSalvation

Why do you say that?

- anonymous

Because Given is always the first step.

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## More answers

- ikram002p

ok so a.1=a what do u call this property ?

- anonymous

Identity right?

- ikram002p

yep exactly :)

- ikram002p

but there is one thing that confuse me in ur question, about this one
Symmetric Property of Equality
i dont see why its wrong to use it, maybe cause its the same property that u wanna prove ?

- anonymous

Im not sure. Its what confused me too...

- NobodysSalvation

The answer is Symmetric Property because the basic rule for that one is a=b so b=a
In the problem though we're only shown one-half of the property. Both sides are still equal though due to the given.

- anonymous

Okay, I wasnt sure what it would be. That makes sense though. Thank you, both of you

- ikram002p

well thats depend on the axiom system ur working on
the question itself wanna u to prove if Symmetric Property of Equality really works ,i'll tell u why :-
if the reason was symmetric property then why didnt we use it directly to prove
a.c=b.c ?
got it now ??

- anonymous

Yeah, I get it. Makes way more sense

- ikram002p

so the answer is the identity look for how it make more sense

- anonymous

Oh wait- so its Identity not Symmetry?

- NobodysSalvation

I see what you're saying, but the reason I went with symmetric was because of the fact that given is the reason fro a*c=b*c

- anonymous

Im confused now.

- ikram002p

well here what i think :-
1.ac=bc given
2.ac.1/c=bc.1/c symmetric property (we can multiply both side with same stuff like a balance)
3.
4.
5.
6. identity XD
if we use symmetric directly on 6,then there is no need for this whole proof as we can also say
ac=bc given
a=b symmetric blah blah ..
end .

- NobodysSalvation

That is true, but I think it is because there is a better fit for the others. Even if it makes it all unnecessary.

- NobodysSalvation

Like you said it fits better for 2 but that one actually would be the multiplicative identity.

- ikram002p

hmm i think its all about text book and what they trying to teach, its up to u now to decide
@glittergurl0101
i would really like to know whats the answer when u got it :)

- NobodysSalvation

Same here.

- ikram002p

thanks for brain storming @NobodysSalvation

- NobodysSalvation

You too @ikram002p

- anonymous

Yeah, I will go with what I think is best. Then I will let you too know. Thanks so much for the help.

- NobodysSalvation

You're welcome @glittergurl0101

- anonymous

Ahhhh...... The answer was identity. I went with symmetry and got it wrong.

- NobodysSalvation

Ah. Okay so this one goes to @ikram002p

- anonymous

Lol yup. Thanks for the help anyways

- ikram002p

no problem :)

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