Question

Eric is solving the inequality and graphing the solution.

9x+15≥51


Correctly order the steps he used.

(3 points)

Answer 1

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

1. **Subtract 15 from both sides**:
\[
9x + 15 - 15 \geq 51 - 15 \\
9x \geq 36
\]

2. **Divide both sides by 9**:
\[
\frac{9x}{9} \geq \frac{36}{9} \\
x \geq 4
\]

3. **Graph the solution**:
On a number line, plot a closed dot on 4 (to indicate that 4 is included in the solution) and shade to the right to show that all numbers greater than or equal to 4 satisfy the inequality.

In order, the steps are:
1. Subtract 15 from both sides.
2. Divide both sides by 9.
3. Graph the solution.

So, the correct order is: **1, 2, 3**.