Answer
The statement is false. Inequality $3x>6$ is not equivalent to $2>x$; rather, it is equivalent to $x>2$.
Work Step by Step
Let us consider the following inequality:
$3x>6$
Now, solve the above inequality for x as follows:
First, divide both sides of the inequality by 3,
$\begin{align}
& \frac{3x}{3}>\frac{6}{3} \\
& x>2
\end{align}$
We know that dividing the inequality by a positive number does not affect the inequality.
Therefore, dividing the above inequality by 3 does not affect the inequality.
Thus, the statement is false. $3x>6$ is not equivalent to $2>x$; rather, it is equivalent to $x>2$.
