10 of 1210 of 12 Items

Question
Eric is solving the inequality and graphing the solution.

9x+15≥51


Correctly order the steps he used.

(3 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.
Skip to navigation

page 4 of 4

2 answers

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:

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