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Q 1871401326.     For each binary opcmtion * defined below, determine whether * is binary, commutative or associative.

(i) On `Z`, define a * b`= a- b`

(ii) On `Q`, define a* b `= ab + 1`

(iii) On `Q`, define a * b `= (ab)/2`

(iv) On `Z^+`, define a* b =` 2^(ab)`

(v) On `Z^+`, define a* b `= a^b`

(vi) On `R - {-1}`, define a*b `= a/(b+1)`

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