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.

subtract 4 on both sides of the inequality
add 2 to both sides of the inequality
subtract 2 both sides of the inequality
divide by 14 on both sides of the inequality
divide by 2 on both sides of the inequality
multiply by 4 on both sides of the inequality
divide by 4 on both sides of the inequality
open circle, shade right
open circle, shade left
closed circle, shade left
closed circle, shade right
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
Skip to navigation

Answer 1

To solve the inequality \( 4m - 2 \leq 14 \), we can arrange the steps as follows:

Steps to Solve the Inequality

Step 1: Add 2 to both sides of the inequality.
Step 2: Divide by 4 on both sides of the inequality.

Graph

• Open circle, shade left

---

Determine the solution to the inequality

To find the solution to \( 4m - 2 \leq 14 \):

1. Add 2 to both sides:
   \( 4m \leq 16 \)

2. Divide by 4:
   \( m \leq 4 \)

Thus, the solution is:

• m ≤ 4
• m is less than or equal to 4

These responses match the conclusion from the steps above.