Question 1

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<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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Answer 1

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: \[ 5x < 23.1 - 12.5 \]

Step 2.

Simplify the right side: \[ 5x < 10.6 \]

Step 3.

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

Step 4.

Calculate the division: \[ x < 2.12 \]

Graph.

The solution can be represented on a number line as a line extending to the left from 2.12, not including the point 2.12 itself.

Question 2

The solution in decimal form to the hundredths place is:

• x < 2.12