On the set `Z` of all integers a binary operation * is defined by `a*b=a+b+2` for all `a ,\ b in Z` . Write the inverse of 4.

On the set Z of integers a binary operation * is defined by a*b= a b+1 for all a ,\ b in Z . Prove that * is not associative on Zdot

On the set Z of integers a binary operation * is defined by a*b=ab+1 for all a,b in Z Prove that * is not associative on Z

On the set Q^+ of all positive rational numbers a binary operation * is defined by a * b=(a b)/2 for all a ,\ b in Q^+ . The inverse of 8 is (a) 1/8 (b) 1/2 (c) 2 (d) 4

Q^+ is the set of all positive rational numbers with the binary operation * defined by a*b= (a b)/2 for all a ,\ b in Q^+ . The inverse of an element a in Q^+ is a (b) 1/a (c) 2/a (d) 4/a

On the set Q^(+) of all positive rational numbers a binary operation * is defined by a*b=(ab)/(2) for all a,b in Q^(+). The inverse of 8 is (1)/(8) (b) (1)/(2)(cc)2(d)4

Let Z be the set of all integers, then , the operation * on Z defined by a*b=a+b-ab is

On the set Z of integers, if the binary operation * is defined by a*b= a+b+2 , then find the identity element.