Solve the Linear Inequality: 4x + 7 > 19

To solve the inequality $4x + 7 > 19$, follow these steps:

1. Subtract 7 from both sides to isolate the term with $x$ on one side.

$4x + 7 - 7 > 19 - 7$

2. This simplifies to:

$4x > 12$

3. Next, divide each side by 4 to solve for $x$.

$x > \frac{12}{4}$

4. This simplifies further:

$x > 3$

Therefore, the solution is $x > 3$.