A binary composition o in the set of real numbers R is defined `a o b = a+b-1AA a,b in R` Find 40(509)

Determine if the binaary operation o on the set R of real numbers defined by aob = a+b-3 AA a, b inR is commutative/ associative.

The relation R, in the set of real number defined as R = {(a,b): a lt b} is:

Let ast be a binary operation on the set of all real numbers R defined by aastb=a+b+a^2b for a, b R. Find the identity elements in R if exists.

Let ast be a binary operation on the set of all real numbers R defined by aastb=a+b+a^2b for a, b R. Find 2ast6 and 6ast2 .

Consider the binary operation ast on the set R of real numbers, defined by aastb = a b / 4 Find the inverse of 5.

Let * be a binary operation on set R of real numbers defined by a * b = a + b where a, b in R . then the value of 4 * (5 * 6) is :

Let * be a binary operation on set R of real numbers defined by a * b = a + b where a, b in R . then the value of 6 * (3 * 3) is :

Let * be a binary operation on set R of real numbers defined by a * b = a + b where a, b in R . then the value of 6 * (3 * 4) is :

Let* is a binary operation on the set of all non-zero real numbers, given by a*b = (ab)/(5),AA a,b in R-{0) . Find the value of x, given that 2*(x*5) = 10.

Let ast be a binary operation on the set of all real numbers R defined by aastb=a+b+a^2b for a, b belongs to R. Prove that ast is neither commutative nor associative.