Determine if R is reflexive, symmetric, transitive.. Group of answer choicesTransitivenone of the aboveSymmetricReflexive
Question
Determine if R is reflexive, symmetric, transitive...
Group of answer choices:
- Transitivenone of the above
- Symmetric
- Reflexive
Solution
To determine if R is reflexive, symmetric, and transitive, we need to understand the definitions of these properties.
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Reflexive: A relation R is reflexive if every element in the set is related to itself. In other words, for every element a in the set, (a, a) must be in R.
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Symmetric: A relation R is symmetric if for every pair of elements (a, b) in R, the pair (b, a) is also in R.
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Transitive: A relation R is transitive if for every three elements (a, b) and (b, c) in R, the pair (a, c) is also in R.
Now, we can determine if R has these properties by examining the given relation.
Please provide the specific relation R so that I can analyze it and determine its properties.
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