To solve the inequality \(9x + 15 \geq 51\) and graph the solution, Eric would follow these steps:
Step 1: Subtract 15 from both sides:
\[9x + 15 - 15 \geq 51 - 15\]
\[9x \geq 36\]
Step 2: Divide both sides by 9:
\[x \geq \frac{36}{9}\]
\[x \geq 4\]
Step 3: Graph the solution:
This would involve drawing a number line and shading the area to the right of 4, including a closed dot at 4 to indicate that 4 is part of the solution.
So, in order, the steps are:
- Subtract 15 from both sides.
- Divide both sides by 9.
- Graph the solution.