The set of all real numbers under the usual multiplication operation is not a group because?
Correct answer: A. zero has no inverse.
- A. zero has no inverse.
- B. Identity element does not exist.
- C. Multiplication is not associative.
- D. Both A and B.
Explanation
Set of real number i.e. (−∞,0)∪(0,∞) is under usual multiplication operation because 0∈R and zero do not have an inverse i.e. it can not give ordered airs to be included in a group.
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