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Question

Question 1
Consider the inequality.

1.25x + 12.75 ≤ 16.5


Correctly order the steps used to solve the inequality.

(1 point)
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.
Step 3.
Question 2
What is the solution set for 1.25x+12.75 ≤16.5
?(1 point)
Responses

x≥−3
x is greater than or equal to negative 3

x≥3
x is greater than or equal to 3

x≤−3
x is less than or equal to negative 3

x≤3
x is less than or equal to 3
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Answer 1

To solve the inequality \( 1.25x + 12.75 \leq 16.5 \), let's follow the steps in order and then determine the solution set.

Step 1: Subtract 12.75 from both sides of the inequality. \[ 1.25x + 12.75 - 12.75 \leq 16.5 - 12.75 \] This simplifies to: \[ 1.25x \leq 3.75 \]

Step 2: Divide both sides by 1.25. \[ x \leq \frac{3.75}{1.25} \] Calculating \( \frac{3.75}{1.25} \) gives: \[ x \leq 3 \]

Step 3: Write the solution set. The solution set is: \[ x \leq 3 \]

Summary of Steps in Order:

• Step 1: Subtract 12.75 from both sides.
• Step 2: Divide by 1.25.
• Step 3: Write the solution.

Question 2: Solution Set

The solution set for \( 1.25x + 12.75 \leq 16.5 \) is:

• \( x \leq 3 \) (or "x is less than or equal to 3").

If you need to select an option from the given responses, choose:

• x ≤ 3 or x is less than or equal to 3.