Consider the inequality.

Question

4m−2≤14

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 to the inequality.

4m−2≤14


(1 point)
Responses

m≤3
m is less than or equal to 3

m≤7
m is less than or equal to 7

m≤4
m is less than or equal to 4

m≤5
m is less than or equal to 5
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Answer 1

To solve the inequality \(4m - 2 \leq 14\), you can follow these steps:

Step 1

Add 2 to both sides of the inequality: \[ 4m - 2 + 2 \leq 14 + 2 \] This simplifies to: \[ 4m \leq 16 \]

Step 2

Now, divide both sides by 4: \[ \frac{4m}{4} \leq \frac{16}{4} \] This simplifies to: \[ m \leq 4 \]

Graph

On a number line, you would illustrate this by shading all values to the left of 4, including 4 itself (indicating \(m\) can equal 4).

Question 2 Response

The solution to the inequality is: m ≤ 4 (or m is less than or equal to 4).

Final Answers

• Step 1: Add 2 to both sides.
• Step 2: Divide both sides by 4.
• Graph: (Refer to a number line shading leftwards from 4).
• Response: \(m \leq 4\) or \(m \text{ is less than or equal to } 4\).