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Let * be the binary operation defined on Q. Find which of the following binary operations are commutative a * b = a – b ∀ a, b belongs to Q

 Let * be the binary operation defined on Q. Find which of the following binary operations are commutative
 a * b = a – b ∀ a, b  belongs to Q  

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear Student
Given,
* is a binary operation defined on Q.
a * b = a–b,∀a, b∈ Q
b * a = b – a
Thus , a * b ≠ b * a
Thus , * is not commutative.

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