IGNOU MTE 6 2026 - Check whether (X, ) is a group or not.

Question

Check whether (X, ) is a group or not.

09 Jan 2026

Answer :

Word Count : 259

To check whether ((X, \cdot)) is a group, we must verify four group axioms: closure, associativity, identity, and invertibility. Since the operation or set (X) is not explicitly given in your question, I will outline the numerical/manual method you would follow step by step. 1. Closure: For all (a, b \in X), check if (a \cdot b \in X). * Take all elements of (X) and apply the operation (\cdot)

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