Q. 9 A5.0( 7 Votes )

# Let ∗</span

It is given that be a binary operation on the set Q of rational numbers as

a b = a – b

We can observed that for 2,3,4 ϵ Q

2 * 3 = 2-3 = -1 and 3 * 2 = 3-2 =1

2 * 3 ≠ 3 * 2

the operation * is not commutative.

Also, (2 * 3) * 4 = (-1) * 4 = -1 -4 = -5 and

2 * (3 * 4) = 2 * (-1) = 2 – (-1) = 3.

(2 * 3) * 4 ≠ 2 * (3 * 4)

Therefore, the operation * is not 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