To solve the inequality \( 4x > 10 \), we begin by isolating \( x \):
- Divide both sides by 4: \[ x > \frac{10}{4} \] This simplifies to: \[ x > 2.5 \]
This means the solution to the inequality is all values of \( x \) that are greater than 2.5.
On a number line, this would be represented by an open circle at 2.5 (indicating that 2.5 is not included in the solution) and a shaded region extending to the right (indicating all numbers greater than 2.5).
Look for a graph that has an open circle at 2.5 and a line or shaded area going to the right, indicating that the values greater than 2.5 are included in the solution.
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