In the set Q of all rational numbers, a binary operation o : Q x Q �

1.	In the set Q of all rational numbers, a binary operation o : Q x Q → Q, is defined by o(x, y) = x o y = x + y - xy, then show that o is commutative.
Answer» Let x,y ∈ Q then xoy = x + y - xy = y + x - yx = yox hence o commutative

In the set Q of all rational numbers, a binary operation o : Q x Q → Q, is defined by o(x, y) = x o y = x + y - xy, then show that o is commutative.

Answer»

Let x,y ∈ Q

then xoy = x + y - xy

= y + x - yx

= yox

hence o commutative

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In the set Q of all rational numbers, a binary operation o : Q x Q → Q, is defined by o(x, y) = x o y = x + y - xy, then show that o is commutative.

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