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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:

A

reflexive, symmetric and not transitive

B

reflexive, symmetric and transitive

C

reflexive, not symmetric and transitive

D

not reflexive, symmetric and transitive

Text Solution

Verified by Experts

The correct Answer is:
A
Let `W={"cat, toy, you,"…}`
Clearly, R is reflexive and symmetric but not transitive.
`[:."cat R toy, toy R you "cancelimplies"cat R you"]`
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