Q. 2 C4.6( 12 Votes )

# For each operatio

It is given that On Q, define a b = Now, ϵ Q, so the operation * is binary.

We know that ab = ba for a,b ϵ Q = for a, b ϵ Q

a * b = a * b for a,b ϵ Q

The operation * is commutative.

Also for all a,b,c ϵ Q, we get,

(a * b) * c = ( ) * c = a * (b * c) = a * ( ) = (a * b) * c = a * (b * c)

the operation * is associative.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Fill in theMathematics - Exemplar

Let f : [2, ∞) <sMathematics - Exemplar

Let f : N Mathematics - Exemplar

Fill in theMathematics - Exemplar

Let f :R →<Mathematics - Exemplar

Let f : [0, 1] <sMathematics - Exemplar

Which of the follMathematics - Exemplar