Question

The set $\{-1,0,1\}$ is not a multiplicative group because of the failure of

• A. Closure law
• B. Associative law
• C. Identity law
• D. Inverse law

Answer 1

Answer: (D)

Let $G=\{-1,0,1\}$
Since, the multiplicative inverse of $0$ is not defined.
Hence, inverse law fails the multiplicative group.