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Question

9 of 109 of 10 Items

Question
Eric is solving the inequality and graphing the solution.

9x+15≥51


Correctly order the steps he used.

(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1
Step 2
Graph the solution.
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Answer 1

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

Step 1: Isolate the variable

To isolate \( x \), he would first subtract 15 from both sides:

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

This simplifies to:

\[ 9x \geq 36 \]

Step 2: Divide by the coefficient of \( x \)

Next, he would divide both sides by 9:

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

This simplifies to:

\[ x \geq 4 \]

Step 3: Graph the solution

Finally, he would graph the solution, which includes drawing a number line, marking the point at 4, and shading to the right to indicate that all values greater than or equal to 4 satisfy the inequality.

Putting it all together in order:

1. Step 1: Subtract 15 from both sides and simplify.
2. Step 2: Divide by 9 to solve for \( x \).
3. Step 3: Graph the solution.

Make sure you put the responses in this correct order as required!