Show that the operation * on Z define by a* b =a+b+1 for all a,b in Z Satisfies (i) the closure property (ii) the associative law and (iii) the commutative law ltrbgt (iv) find the identity element in Z (v) what is the inverse iof an element a in Z ?

Show that the opeation * on Q -{1} defined gby a*b=a+b-ab for all a, b in Q- {1} Satifies (i) the closure property (ii) the associative law (iii) the commutative alw (iv) what is the identity element ? (v)for each a in Q-{1} find the inverse of a

Both addition and multiplication of numbers are operations which are neither commutative nor associative associative but not commutative commutative but not associative commutative and associative

Let ^(*) be a binary operation on R defined by a*b=ab+1. Then,* is commutative but not associative associative but not commutative neither commutative nor associative (d) both commutative and associative

Subtraction of integers is commutative but not associative commutative and associative associative but not commutative (d) neither commutative nor associative

Prove that in the set of real numbers '+' and 'xx' are associative but '-' and 'div' are not associative.

All or none law is associated with