MENU
Question -

Let A be any set containing more than one element. Let ‘*’ be abinary operation on A definedby a * b = b for all a, b  A Is ‘*’ commutative or associative on A?



Answer -

Let a, b A

Then, a * b = b

b * a = a

Therefore a * b ≠ b *a

Thus, * is notcommutative on A

Now we have to checkassociativity:

Let a, b, c A

a * (b * c) = a * c

= c

Therefore

a * (b * c) = (a * b)* c, a, b, c A

Thus, * is associativeon A

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×