The set -1,0,1 is not a multiplicative group because of the failure of

Step-by-step solution

We have, A= -1,0,1 Now, let e be the identity element. Then, a e=a e=1 A Again, a⁻¹ be the inverse element. Then, a a⁻¹=e a a⁻¹=1 a⁻¹= 1 a Now, for a=0, a⁻¹= 1 0 = A So, inverse law fails.