Eric is solving the inequality 9x+15≥51

Question

and graphing the solution. Which of the following describes his steps?(1 point)
Responses

Subtract 15 from both sides of the inequality.
Divide both sides of the inequality by 9.
Plot the point given in the solution on the number line with a closed circle.
Shade to the right of the point on the number line.
Subtract 15 from both sides of the inequality. Divide both sides of the inequality by 9. Plot the point given in the solution on the number line with a closed circle. Shade to the right of the point on the number line.

Divide both sides of the inequality by 9.
Subtract 15 from both sides of the inequality.
Plot the point given in the solution on the number line with a closed circle.
Shade to the right of the point on the number line.
Divide both sides of the inequality by 9. Subtract 15 from both sides of the inequality. Plot the point given in the solution on the number line with a closed circle. Shade to the right of the point on the number line.

Divide both sides of the inequality by 9.
Subtract 15 from both sides of the inequality.
Plot the point given in the solution on the number line with a closed circle.
Shade to the left of the point on the number line.
Divide both sides of the inequality by 9. Subtract 15 from both sides of the inequality. Plot the point given in the solution on the number line with a closed circle. Shade to the left of the point on the number line.

Subtract 15 from both sides of the inequality.
Divide both sides of the inequality by 9.
Plot the point given in the solution on the number line with a closed circle.
Shade to the left of the point on the number line.

Answer 1

To solve the inequality \(9x + 15 \geq 51\), Eric should follow these steps:

1. Subtract 15 from both sides:
   This simplifies the inequality to \(9x \geq 36\).

2. Divide both sides by 9:
   This gives \(x \geq 4\).

3. Plot the point on the number line:
   Since the inequality is "greater than or equal to," he would plot \(4\) with a closed circle to indicate that \(4\) is included in the solution.

4. Shade to the right of the point on the number line:
   This shows that all values greater than or equal to \(4\) are part of the solution.

Given this process, the correct description of Eric's steps is:

Subtract 15 from both sides of the inequality. Divide both sides of the inequality by 9. Plot the point given in the solution on the number line with a closed circle. Shade to the right of the point on the number line.