# Answer to Question #14786 in Abstract Algebra for Sujata Roy

Question #14786

The binary relation S=empty set on set A={1,2.3} is

a) neither reflexive nor symmetric

b) symmetric and reflexive

c) transitive and reflexive

d) transitive and symmetric

a) neither reflexive nor symmetric

b) symmetric and reflexive

c) transitive and reflexive

d) transitive and symmetric

Expert's answer

d) transitive and symmetric

In mathematics, a binary relation R over a set X is transitive if whenever an element a is related to an element b, and b is in turn related to an element c, then a is also related to c.

A binary relation R over a set X is symmetric if it holds for all a and b in X that if a is related to b then b is related to a.

In mathematics, a binary relation R over a set X is transitive if whenever an element a is related to an element b, and b is in turn related to an element c, then a is also related to c.

A binary relation R over a set X is symmetric if it holds for all a and b in X that if a is related to b then b is related to a.

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