Define an identity.

Define identity element for a binary operation defined on a set.

If the binary operation * on the set Z is defined by a*b =a+b-5, then find the identity element with respect to *.

If the binary operation . on the set Z is defined by a.b =a+b-5, then find the identity element with respect to ..

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

On the power set P of a non-empty set A, we define an operation * by X * Y=( X^-nn Y) uu (X nn Y^- ) Then which are the following statements is true about 1) commutative and associative without an identity 2)commutative but not associative without an identity 3)associative but not commutative without an identity 4) commutative and associative with an identity

If * defined on the set R of real numbers by a*b=(3a b)/7 , find the identity element in R for the binary operation *.

If * is defined on the set R of all real numbers by a*b=sqrt(a^2+b^2) , find the identity element in R with respect to *.

If * defined on the set R of real numbers by a*b= (3a b)/7 , find the identity element in R for the binary operation *.

If * is defined on the set R of all real numbers by a*b= sqrt(a^2+b^2) , find the identity element in R with respect to *.

If the binary operation * on the set Z of integers is defined by a * b=a + b - 5 , then write the identity element for the operation * in Z.