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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.

add 12.5 to both sides of the inequality
subtract 12.5 from both sides of the inequality
divide 12.5 on both sides of the inequality
multiply 5 on both sides of the inequality
subtract 5 from both sides of the inequality
open circle, shade right
open circle, shade left
closed circle, shade right
closed circle, shade left
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<17.12
x<17.12

x<2.12
x<2.12
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1 answer

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

Question 1

Step 1. Subtract 12.5 from both sides of the inequality
Step 2. Divide 5 on both sides of the inequality
Graph: Open circle, shade left

Question 2

Now let's solve the inequality step-by-step:

  1. Start with the original inequality: \[ 5x + 12.5 < 23.1 \]

  2. Subtract 12.5 from both sides: \[ 5x < 23.1 - 12.5 \] \[ 5x < 10.6 \]

  3. Divide both sides by 5: \[ x < \frac{10.6}{5} \] \[ x < 2.12 \]

Answer to Question 2:

The solution in decimal form to the hundredths place is: x < 2.12