Let W be the set of words in the English language. Define a relation R on W by W₁ R W₂W₁ and we have a letter in common. Which properties of equivalence relations does R satisfy? (Select all that apply.) The relation is reflexive. The relation is symmetric. The relation is transitive. none of the above Explain.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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Let W be the set of words in the English language. Define a relation R on W by
W₁ R W₂W₁ and we have a letter in common.
Which properties of equivalence relations does R satisfy? (Select all that apply.)
The relation is reflexive.
The relation is symmetric.
The relation is transitive.
none of the above
Explain.
Transcribed Image Text:Let W be the set of words in the English language. Define a relation R on W by W₁ R W₂W₁ and we have a letter in common. Which properties of equivalence relations does R satisfy? (Select all that apply.) The relation is reflexive. The relation is symmetric. The relation is transitive. none of the above Explain.
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