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Question

Question 1
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<7.12
x<7.12

x<1.45
x<1.45

x<2.12
x<2.12

x<17.12
x<17.12
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page 14 of 14

Answer 1

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

Step 1:

Subtract 12.5 from both sides:

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

This simplifies to:

\[ 5x < 10.6 \]

Step 2:

Divide both sides by 5:

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

Calculating the right side:

\[ x < 2.12 \]

Graph:

After finding the solution \( x < 2.12 \), you would then graph the inequality on a number line, indicating all values less than 2.12.

Answer to Question 2:

The solution in decimal form to the hundredths place is:

x < 2.12

So the correct answers would be:

• For Step 1: "Subtract 12.5 from both sides."
• For Step 2: "Divide both sides by 5."
• For the graph: You would graph the solution \( x < 2.12 \) on a number line.

The answer to Question 2 is \( x < 2.12 \).