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Prove that R is reflexive.
8. Let R be a relation on a set S such that R is symmetric and transitive and for each x ε S there is an element y ε S such that x R y. Prove that R is an equivalence relation (i.e. prove that R is reflexive)
Let S ne the set of all strings of a's and b's. Let R be the relation on S defined by... x and y begin with different symbols.
Determine whether the binary relation R on Z, where aRb means |a-b| <= 1, is reflexive, symmetric, antisymmetric, and/or transitive.
By OTA: Amrit Lal Ahuja, PhD (IP)
OTA Rating: 4.9/5
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