ExamBro
ExamBro
KCET · Maths · Mathematical Reasoning

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

  1. A closure law
  2. B associative law
  3. C identity law
  4. D inverse law
Verified Solution

Answer & Solution

Correct Answer

(D) inverse law

Step-by-step Solution

Detailed explanation

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