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Question

Question 1
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≤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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page 14 of 14

Answer 1

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

Step 1: Add 2 to both sides

\[ 4m - 2 + 2 \leq 14 + 2 \] This simplifies to: \[ 4m \leq 16 \]

Step 2: Divide by 4

\[ \frac{4m}{4} \leq \frac{16}{4} \] This simplifies to: \[ m \leq 4 \]

Graph

To graph the solution \( m \leq 4 \), you would typically draw a number line with a solid dot over 4 (indicating that 4 is included in the solution) and shade all values to the left of 4.

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Answer to Question 2

The correct response regarding the solution to the inequality \( 4m - 2 \leq 14 \) is:

• m ≤ 4

This means that \( m \) is less than or equal to 4.