Question

Which axiom justifies the statement RS = RS?

A)symmetric
B)reflexive
C)addition
D)transitive

that's all the information I have. Thank you in advance for the help!

Answer 1

B should be the answer hope this helps

Answer 2

Concept: Basically there are three relations in function relation

a) Reflexive Relation (aRa),

b) Symmetric Relation aRb ⇒bRa ,and

c) Transitive Relation aRb and bRc ⇒cRa

Here, all alphabets are in their usual meanings

(i) Reflexive Relation: A relation R is said to be reflexive on X if (x,x) belongs to R such that every x belongs to set X.

In the given question the statement is RS = RS

It means RS element has its own image as RS

Hence, the statement RS = RS will be reflexive.

Therefore, the correct option will be B)reflexive.