To solve the inequality \(2x - 13 > 3\), we follow these steps in order:
Step 1: Add 13 to both sides of the inequality: \[ 2x - 13 + 13 > 3 + 13 \] This simplifies to: \[ 2x > 16 \]
Step 2: Divide both sides of the inequality by 2: \[ \frac{2x}{2} > \frac{16}{2} \] This simplifies to: \[ x > 8 \]
Now, for the graph that shows the solution \(x > 8\):
- It should have an open circle at 8 (indicating that 8 is not included in the solution) and a line extending to the right (indicating all values greater than 8 are included).
Select the graph that matches this description.
Here are the steps summarized:
- Step 1: Add 13 to both sides.
- Step 2: Divide both sides by 2.
- Graph: Open circle at 8 with a line extending to the right.