In the given sets the binary operation * is defined. Check the commutativity and associativityis 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)

In the given sets the binary operation * is defined. Check the commuta

1.	In the given sets the binary operation * is defined. Check the commutativity and associativityis each case for : (i) In Z, ab=a-b (ii) In Q, a b=1+ab (iii) In Q, ab=(ab)/(2) (iv) In Z^(+), ab =2^(ab) (v) In Z^(+), ab=a^(b) (vi) In R-{-1}, a **b=(a)/(b+1)
Answer» Answer :(II), (III),(IV) are COMMUTATIVE `""` (iii) is associative.

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