Eric is solving the inequality and graphing the solution.

Question

9x+15≥51

Correctly order the steps he used.

(4 points)
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Step 1
Step 2
Graph the solution

Answer 1

To solve the inequality \(9x + 15 \geq 51\) and graph the solution, Eric would follow these steps in order:

Step 1: Subtract 15 from both sides of the inequality.

\[ 9x + 15 - 15 \geq 51 - 15 \]

This simplifies to:

\[ 9x \geq 36 \]

Step 2: Divide both sides by 9.

\[ \frac{9x}{9} \geq \frac{36}{9} \]

This simplifies to:

\[ x \geq 4 \]

Graph the solution: On a number line, Eric would graph a closed circle on 4 (indicating that 4 is included in the solution) and shade to the right, indicating all numbers greater than or equal to 4 are part of the solution.

So the ordered steps will be:

1. Subtract 15 from both sides.
2. Divide both sides by 9.
3. Graph the solution.