Question

For all rational numbers $x$,and $y$, $\left(x\right)\times \left(y\right)=\left(y\right)\times \left(x\right)$. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is A True

Compare the given expressions

Given, $\left(x\right)\times \left(y\right)=\left(y\right)\times \left(x\right)$

This is true by the commutative property of multiplication which says that order of the numbers is not important

For example, let us assume, $x=3$ and $y=4$

On substituting the values, we get,

$$\begin{gathered} \left(x\right)\times \left(y\right)=\left(y\right)\times \left(x\right) \\ \Rightarrow \left(3\right)\times \left(4\right)=\left(4\right)\times \left(3\right) \\ \Rightarrow 12=12 \end{gathered}$$

$\therefore$ $\mathrm{LHS}=\mathrm{RHS}$.

Hence, the statement is True.