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Is ∗ defined on the set {1, 2, 3, 4, 5} by a ∗ b = L.C.M. of a and b a binary operation? Justify your answer.
Is ∗ defined on the set {1, 2, 3, 4, 5} by a ∗ b = L.C.M. of a and b a binary operation? Justify your answer.
CBSE | Class 12 | Exercise 1.4 | Maths | NCERT | Relations and Functions
Is ∗ defined on the set {1, 2, 3, 4, 5} by a ∗ b = L.C.M. of a and b a binary operation? Justify your answer.

solution:

The activity ∗ characterized on the set {1, 2, 3, 4, 5} by a ∗ b = L.C.M. of an and b

Assume, a = 2 and b = 3

2 * 3 = L.C.M. of 2 and 3 = 6

However, 6 doesn’t has a place with the set A.

In this manner, given activity * is anything but a paired activity.

i

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