# Given this definition, is there one or two Rs?

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• Feb 12th 2011, 07:46 PM
s3a
Given this definition, is there one or two Rs?
The definition uses R for relation but I am wondering if the R near the "element of" symbol is also the "relation" notation or if it is used for "reals".

Sorry if this is a dumb question but any input would be greatly appreciated!
Thanks in advance!
• Feb 12th 2011, 08:39 PM
topspin1617
It's all the same $R$. Remember a relation can be written as ordered pairs:

$aRb\Leftrightarrow (a,b)\in R$.
• Feb 14th 2011, 05:48 PM
s3a
So, the right hand side means "Point (a,b) is part of the relation R"?