1. **State the problem:** We need to determine if the point $(3,4)$ satisfies the inequality $y < 4x - 2$.
2. **Write the inequality and substitute the point:** The inequality is $$y < 4x - 2$$ Substitute $x=3$ and $y=4$:
$$4 < 4(3) - 2$$
3. **Simplify the right side:**
$$4 < 12 - 2$$
$$4 < 10$$
4. **Check the inequality:** Since $4$ is indeed less than $10$, the inequality holds true.
**Final answer:** Yes, the point $(3,4)$ is a solution to the inequality $y < 4x - 2$.
Point Inequality C37948
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.