Question

Consider the inequality. 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≤7 m is less than or equal to 7 m≤4 m is less than or equal to 4 m≤3 m is less than or equal to 3 m≤5

Answer 1

To solve the inequality \( 4m - 2 \leq 14 \), here are the steps in the correct order:

Step 1: Add 2 to both sides:
\[ 4m - 2 + 2 \leq 14 + 2 \]
This simplifies to:
\[ 4m \leq 16 \]

Step 2: Divide both sides by 4:
\[ \frac{4m}{4} \leq \frac{16}{4} \]
This simplifies to:
\[ m \leq 4 \]

Graph: The graph would show a closed circle on the number 4 and a line extending to the left, indicating that \( m \) can take values less than or equal to 4.

For Question 2, the correct response for the solution to the inequality \( 4m - 2 \leq 14 \) is:
m is less than or equal to 4 (or \( m \leq 4 \)).