We are asked to solve for $x$ in the inequality:

$y < mx + b$

Step-by-step solution:

1. Isolate $mx$ on one side: $y - b < mx$ (Subtract $b$ from both sides).

2. Solve for $x$: $\frac{y - b}{m} < x$ (Divide both sides by $m$).

This gives us:

$x > \frac{y - b}{m}$

So, the correct answer is the last option: $x > \frac{y - b}{m}$

Would you like further details or have any questions about this solution?

Here are 5 related questions for deeper understanding:

1. What happens if the inequality was $y > mx + b$?
2. How does the solution change if $m$ is negative?
3. Can you graph the inequality $y < mx + b$ and interpret the solution visually?
4. What are the steps to solve for $x$ in an absolute value inequality?
5. How would you solve for $x$ if $b = 0$?

Tip: When solving inequalities, be cautious about the direction of the inequality sign, especially when dividing by a negative number.