Subtract 3 from both sides of the inequality.

$$-4x < 11 - 3$$ $$-4x < 8$$

When dividing an inequality by a negative number, you must reverse the direction of the inequality sign.

$$\frac{-4x}{-4} > \frac{8}{-4}$$ $$x > -2$$

The solution is $\boxed{x > -2}$.

Graphical Representation:
To represent $x > -2$ graphically, draw a number line.

• Locate -2 on the number line.
• Place an open circle at -2. This indicates that -2 is not included in the solution set.
• Draw an arrow extending to the right from the open circle. This arrow covers all numbers greater than -2.