Multiply by a Positive

To solve $\frac{x}{2} > 3$, multiply both sides by 2. Half of $x$ is more than 3, so $x$ itself is more than 6:

$$x > 6$$

Multiplying both sides of an inequality by a positive number keeps the sign as well. For example, $3 < 5$ is true. Multiply both sides by 2 and you get $6 < 10$, which is also true.

You undo a fraction the same way as in an equation. To undo $\frac{x}{5}$, multiply by 5. To undo $\frac{2x}{3}$, multiply by 3 and then divide by 2, or multiply by $\frac{3}{2}$ in one step. All of these numbers are positive, so the sign stays the same whichever way you do it.