Question

Consider the inequality.

5x+12.5<23.1

Drag and drop the steps to solve the inequality in the correct order.

(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.
Question 2
Determine the solution in decimal form to the hundredths place.(1 point)
Responses

x<2.12
x<2.12

x<7.12
x<7.12

x<1.45
x<1.45

x<17.12
x<17.12
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Answer 1

is the graph open circle, shade right

Answer 2

To solve the inequality \(5x + 12.5 < 23.1\), we can follow these steps:

**Step 1:** Subtract 12.5 from both sides of the inequality.

\[
5x + 12.5 - 12.5 < 23.1 - 12.5
\]

**Step 2:** Divide both sides by 5.

\[
\frac{5x}{5} < \frac{10.6}{5}
\]

**Graph:** After performing these calculations, we can graph the solution on a number line.

Now, let's calculate the solution in decimal form:

1. From Step 1, we have:
\[
5x < 10.6
\]

2. From Step 2, dividing by 5 gives:
\[
x < \frac{10.6}{5} = 2.12
\]

So, the solution to the inequality in decimal form to the hundredths place is **\(x < 2.12\)**.

### Here’s how to place the responses in the correct order:

- **Step 1:** Subtract 12.5 from both sides of the inequality.
- **Step 2:** Divide both sides by 5.
- **Graph:** (Graph would show all x-values to the left of 2.12)

### For Question 2, the answer is:
**x < 2.12**.