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Q2. For each operation ∗ defined below, determine whether ∗ is binary, commutative
or associative.
(i)On , define
Answers (1)
a*b=a-b
b*a=b-a
so * is not commutative
(a*b)*c=(a-b)-c
a*(b*c)=a-(b-c)=a-b+c
(a*b)*c not equal to a*(b*c), so * is not associative
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