Question

Let $\ast$ be a binary operation defined on the set of rational numbers $Q$ defined by $a\ast b=ab+1,$ in this statement $\ast$ is a commutative.

• A. True
• B. False

Answer 1

The correct option is A True

$a\text{*}b=ab+1$

$b\text{*}a=ba+1=ab+1$

$\therefore a\text{*}b=b\text{*}a$

Hence the given statement is true.