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The binary operation * defined on the set of integers as a∗b = |a−b|-1 is:
  • a)
    commutative
  • b)
    Associative
  • c)
    Not commutative
  • d)
    None of these.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The binary operation * defined on the set of integers asa∗b = |...
Here * is commutative as b*a = |b−a|−1 = |a−b|−1 = a∗b.
Because ,|−x| = |x| for all x ∈ R.
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The binary operation * defined on the set of integers asa∗b = |a−b|-1 is:a)commutativeb)Associativec)Not commutatived)None of these.Correct answer is option 'A'. Can you explain this answer?
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