Question 1112831
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Yes.


Consider the other answers:


*[tex \Large a\ -\ b] and *[tex \Large a\ +\ b] have the same variables.  Equivalent only if *[tex \Large b\ =\ 0], in which case the two expressions would have the same value.


*[tex \Large a\ +\ 2] and *[tex \Large b\ +\ 2].  Equivalent ONLY if *[tex \Large a\ =\ b], in which case the two expressions would have the same value.


The "value" of an expression containing an equals sign is either "true" or "false".  The fact that two expressions each have an equals sign in them does not guarantee equivalence since one of the statements might be true and the other false.  For example, consider:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 5x\ +\ 6\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 1]


If either of these statements is true, then the other one is not.  Actually, they could both be false which is a very loose form of equivalence, but certainly not equivalent in the context that I think you are working in.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

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