Is this an associate or idempotent law?


#1

(pVq)Vr = pV(qVr) is known as

  1. Associative law
  2. Idempotent law
  3. Commutative law
  4. Negation law

#2

The answer is associative law because here the operations are grouped as in the left hand side p OR q operation will takes place first and result will be performed OR operation with r. Whereas in right hand side q OR r operation will take place first and result will be performed OR operation with p.


#3

This is a simple law in sets i.e (ab)c=a(bc),inshort it is associative property of sets,so inorder to carry out the above opertions one has to first take aORb then ORc,the product thus obtained should be equal aOR(bORc).
so yes this is associative property in sets.