Question

Determine whether * is a binary operation on the sets-given below.

a * b = min (a, b) on A = {1, 2, 3, 4, 5}

Answer 1

Yes.

Reason: a, b ∈ R and minimum of (a, b) is either a or b but a, b ∈ R.

So, min (a, b) ∈ R.

(Le.) a * b ∈ R.

* is a binary operation on R.