Question

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

a * b – a.|b| on R

Answer 1

Yes.

Reason: a, b ∈ R.

So, |b| ∈ R

When b ∈ R

Now multiplication is binary on R

So a|b| ∈ R when a, b ∈ R.

(Le.) a * b ∈ R.

* is a binary operation on R