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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 \(1.25x + 12.75 \leq 16.5\), we can follow these steps:

Step 1:

Subtract 12.75 from both sides: \[ 1.25x \leq 16.5 - 12.75 \]

Step 2:

Calculate the right side: \[ 16.5 - 12.75 = 3.75 \] So now we have: \[ 1.25x \leq 3.75 \]

Step 3:

Divide both sides by 1.25: \[ x \leq \frac{3.75}{1.25} \] Calculating the division: \[ \frac{3.75}{1.25} = 3 \] Hence, we find: \[ x \leq 3 \]

Summary of Steps:

1. Subtract 12.75 from both sides.
2. Simplify to find \(1.25x \leq 3.75\).
3. Divide by 1.25 to solve for \(x\), resulting in \(x \leq 3\).

Solution Set:

The solution set is: \[ x \leq 3 \]

Responses for Question 2:

• x≤3
• x is less than or equal to 3