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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.
open circle, shade right
open circle, shade left
closed circle, shade left
closed circle shade right
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 \(5x + 12.5 < 23.1\), you can follow these steps:

Step 1: Subtract 12.5 from both sides of the inequality. \[ 5x < 23.1 - 12.5 \]

Step 2: Divide both sides by 5. \[ x < \frac{10.6}{5} \]

Now, let's simplify \(\frac{10.6}{5}\): \[ \frac{10.6}{5} = 2.12 \]

Thus, the solution in decimal form is: \[ x < 2.12 \]

Now let's choose the options as per the question:

For Step 1:

• Response: "Subtract 12.5 from both sides"

For Step 2:

• Response: "Divide both sides by 5"

Graph:

• Response: "open circle, shade left" (since \(x < 2.12\))

Summary of responses:

• Step 1: "Subtract 12.5 from both sides"
• Step 2: "Divide both sides by 5"
• Graph: "open circle, shade left"

Final solution:

• \(x < 2.12\) (choose "x < 2.12" as your answer for the solution in decimal form).