To solve the inequality \(4x > 10\), we first divide both sides by 4:
\[ x > \frac{10}{4} \] \[ x > 2.5 \]
This means the solution includes all numbers greater than 2.5.
In terms of a number line graph, the solution would be represented as an open circle (since 2.5 is not included in the solution) at 2.5, and a line extending to the right to indicate all numbers greater than 2.5.
If you have graphs available to choose from, you should look for one that has an open circle at 2.5 and a shaded line extending to the right.
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