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# Relations : Reflexive, Symmetric and/or Transitive

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Determine if the relation R on the set of all people is reflexive, symmetric and/or transitive where (x,y) "E" R if and only if x and y live within one mile of each other.

NOTE: I cannot correctly indicate the symbol to show "is a member of" so I have used "E" in it's place.

https://brainmass.com/math/discrete-optimization/relations-reflexive-symmetric-transitive-111027

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Reflexive, Symmetric and/or Transitive
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NOTE: I cannot correctly indicate the symbol to show "is a member of" so I have used "E" in it's place.

Determine if the relation R on the ...

#### Solution Summary

The properties of a given relation are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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## Reflexive, Symmetric, Transitive and Boolean products

1. Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y) R if and only if x = 1.
a. reflexive
b. symmetric
c. antisymmetric
d. transitive

2. Find the Boolean product of the two matrices:
[ 0 1 0 ] [ 0 1 0 ]
[ 1 1 1 ] [ 0 1 1 ]
[ 1 0 0 ] [ 1 1 1 ]

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