Sets, Relations and Functions

Question : 15 of 65

Marks: +1, -0

"Is equal to" is a

Solution:

Concept:

The relation "is equal to" (

=

) on any set is reflexive, symmetric, and transitive, making it an equivalence relation.

Explanation:

For any

a

b

c

in a set:

• Reflexive:

a = a

is always true.

• Symmetric: If

a = b

, then

b = a

• Transitive: If

a = b

and

b = c

, then

a = c

Since "is equal to" satisfies all three properties, it is an equivalence relation.

Answer:

Equivalence relation

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