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≤4
m is less than or equal to 4

m≤5
m is less than or equal to 5

m≤3
m is less than or equal to 3

m≤7
m is less than or equal to 7
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Answer 1

To solve the inequality \( 4m - 2 \leq 14 \), we 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: Divide both sides of the inequality by 4. \[ \frac{4m}{4} \leq \frac{16}{4} \] This simplifies to: \[ m \leq 4 \]

Graph: The solution can be graphed on a number line, indicating that all values to the left of and including 4 are solutions.

Now, for the answer to question 2 regarding the solution to the inequality: The solution is: m ≤ 4 m is less than or equal to 4.