KCET · Maths · Mathematical Reasoning
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 & 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.
Since, the multiplicative inverse of 0 is not defined.
Hence, inverse law fails the multiplicative group.
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