To solve the inequality \( 4x > 10 \), we can divide both sides by 4:
\[ x > \frac{10}{4} \]
This simplifies to:
\[ x > 2.5 \]
The solution indicates that \( x \) must be greater than 2.5.
In terms of a graph, the solution would be represented as:
- A number line with an open circle on 2.5 (indicating that 2.5 is not included in the solution) and a line extending to the right, indicating all numbers greater than 2.5.
If you have response options (graphs) to choose from, look for one that features an open circle at 2.5, with shading or a line extending to the right toward larger numbers.