Let * be a binary operation defined on the set of Rational numbers Q d

1.	Let * be a binary operation defined on the set of Rational numbers Q defined by ab = ab + 1 prove that is a commutative.
Answer» If * be a commutative binary operation. ab = ba ⇒ ab = ab + 1 = ba + 1= ba ∴ * is commutative binary operation on*.

Let * be a binary operation defined on the set of Rational numbers Q defined by ab = ab + 1 prove that is a commutative.

Answer»

If * be a commutative binary operation.

a*b = b*a

⇒ a*b = ab + 1 = ba + 1= b*a

∴ * is commutative binary operation on*.

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Let * be a binary operation defined on the set of Rational numbers Q defined by a*b = ab + 1 prove that * is a commutative.

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Let * be a binary operation defined on the set of Rational numbers Q defined by ab = ab + 1 prove that is a commutative.