For any two integers $x$and $y$, which of the following suggests that operation of addition is commutative ?

Question : 8

For any two integers $xandy$, which of the following suggests that operation of addition is commutative ?

(a)$x+y=y+x$

(b)$x+y>x$

(c)$x-y=y-x$

(d) $xy=yx$

Question : 8

For any two integers $xandy$, which of the following suggests that operation of addition is commutative ?

(a)$x+y=y+x$

(b)$x+y>x$

(c)$x-y=y-x$

(d) $xy=yx$

Define an operation * on the set of all relational numbersas follows:

r * s = r + s − (r × s),for any two rational numbers r, s. Answer the following with justification:

(i) Is closed under the operation *?

(ii) Is * an associative operation on ?

(iii) Is * a commutative operation on ?

(iv) What is a * 1 for any a in

(v) Find two integers a ≠ 0 and b ≠ 0 such that a * b = 0.

Which of these operations is commutative for integers?