In the given sets the binary operation * is defined. Check the commutativity and associativity is each case for *: (i) In Z, a*b=a-b (ii) In `Q, a** b
In the given sets the binary operation * is defined. Check the commutativity and associativity is each case for *:
(i) In Z, a*b=a-b
(ii) In `Q, a** b=1+ab`
(iii) In `Q, a**b=(ab)/(2)`
(iv) In `Z^(+), a**b =2^(ab)`
(v) In `Z^(+), a**b=a^(b)`
(vi) In `R-{-1}, a **b=(a)/(b+1)`
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