Question

solve the inequality and graph the solution.
2v < 10
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.

Explanation:

Step1: Isolate the variable \( v \)

Divide both sides of the inequality \( 2v<10 \) by \( 2 \).
$$\frac{2v}{2}<\frac{10}{2}$$

Step2: Simplify

Simplify the left - hand side \( \frac{2v}{2}=v \) and the right - hand side \( \frac{10}{2} = 5 \). So the solution of the inequality is \( v < 5 \).

To graph the solution:

• The endpoint is at \( v = 5 \). Since the inequality is \( < \) (not \( \leq \)), we use an open circle at \( v = 5 \).
• The solution set includes all real numbers less than \( 5 \), so we draw a ray to the left of \( 5 \) on the number line.

Answer:

The solution of the inequality \( 2v<10 \) is \( v < 5 \). On the number line, we have an open circle at \( 5 \) and a ray extending to the left.