Let $G=\left\{(a, b) / a \in \mathbb{R}^*, b \in \mathbb{R}\right\}$ and be defined as $(a, b) \bull

Question

Let $G=\left\{(a, b) / a \in \mathbb{R}^*, b \in \mathbb{R}\right\}$ and be defined as $(a, b) \bullet(c, d)=(a c, b c, d)$. Then which of the property that $G$ does not satisfy under the operation $\bullet$ ?

Professor PC Thomas Classes · Answer

Checking properties of the binary operation.