Question

check the associativity of the binary operation * on Q defined by a*b=ab+1 *

Answer 1

Step-by-step explanation:

let x,y,z which is belongs to Q and the binary operation * is defined by a*b =ab+1

Now,

(x*y) *z = (xy +1)*z

=xyz +z +1

and x*(y*z) =x*(yz+1)

=xyz + x +1

Therefore, the binary operation* on Q is not assosiativity