Question

is smaller than over the set of eggs in a box is transitive symmetric reflexive equal​

Answer 1

Answer:

R is not an equivalance relation

R is only transitive

Step-by-step explanation:

Let A be set of eggs

The relation R is defined on A by

$\,x\,<\,y\,\iff\,\text{ egg x is smaller than egg y}$

1.Reflexive:

For any x∈ A, x is not smaller than x

x is not related to x

R is not reflexive

2.Symmetric:

Let x < y

It does not imply y < x

R is not symmetric

3.Transitive:

Let x< y and y < z

Then clearly x < z

R is transitive