## Related questions with answers

Question

Determine whether the relation R on the set of all people is reflexive, symmetric, antisymmetric, and/or transitive, where (a, b) ∈ R if and only if

a) a is taller than b.

b) a and b were born on the same day.

c) a has the same first name as b.

d) a and b have a common grandparent.

Solution

Verified3.9 (14 ratings)

3.9 (14 ratings)

Step 1

1 of 6DEFINITIONS

A relation $R$ on a set $A$ is $\textbf{reflexive}$ if $(a,a)\in R$ for every element $a\in A$.

A relation $R$ on a set $A$ is $\textbf{symmtric}$ if $(b,a)\in R$ whenever $(a,b) \in R$

A relation $R$ on a set $A$ is $\textbf{antisymmtric}$ if $(b,a)\in R$ and $(a,b) \in R$ implies $a=b$

A relation $R$ on a set $A$ is $\textbf{transitive}$ if $(a,b)\in R$ and $(b,c) \in R$ implies $(a,c)\in R$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Discrete Mathematics and Its Applications

7th Edition•ISBN: 9780073383095 (8 more)Kenneth Rosen4,283 solutions

#### Discrete Mathematics and Its Applications

8th Edition•ISBN: 9781259676512 (3 more)Kenneth Rosen4,397 solutions

## More related questions

- discrete math

1/4

- discrete math

1/7