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 choicesTransitivenone of the aboveSymmetricReflexive
Solution 1
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.
Solution 2
To determine if R is reflexive, symmetric, and transitive, we need to understand the definitions of these properties.
-
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.
-
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 triple of elements (a, b, c) in R, if (a, b) and (b, c) are in R, then (a, c) must also be in R.
Now, we need to analyze the relation R to determine if it satisfies these properties.
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