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Let w denote the words in the english di...

Let w denote the words in the english dictionary. Define the relation R by: R = `{(x,y) in W xx W` | words x and y have at least one letter in common}. Then R is: (1) reflexive, symmetric and not transitive (2) reflexive, symmetric and transitive (3) reflexive, not symmetric and transitive (4) not reflexive, symmetric and transitive

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Given relation `R` such that
`R = {(x, y) in W xx W |` the word x and y have at least one letter in common`}`,
where W denotes set of words in English dictionary.
Clearly `(x ,x ) in R` for all `x in W`.
`:.` `(x, x)` has every letter common, therefore `R` is reflexive.
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