Solve the inequality and graph the solution.

Question

3(v+2)<9
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \( 3(v + 2) < 9 \), we start by simplifying it.

1. First, distribute the 3: \[ 3v + 6 < 9 \]

2. Next, subtract 6 from both sides: \[ 3v < 3 \]

3. Divide both sides by 3: \[ v < 1 \]

Now, we have the solution \( v < 1 \). This means that \( v \) can take any value less than 1.

Graph the Solution

To graph the solution:

1. Endpoints: The endpoint here is 1.
2. Since the inequality is \( v < 1 \) (not \( \leq \)), we use an open circle at 1 to indicate that 1 is not included in the solution.
3. The line or ray will extend to the left of 1, indicating all values less than 1.

Representation of the Graph

• Draw a number line.
• Place an open circle at the point 1.
• Shade the line to the left of 1, indicating all numbers less than 1.

The final graph visually represents the solution \( v < 1 \) with the appropriate open endpoint and shaded area.