The problem asks us to solve the inequality $2c < 4$ and graph the solution on a number line.

1. Problem Description

The problem asks us to solve the inequality $2c < 4$ and graph the solution on a number line.

2. Solution Steps

First, we need to solve the inequality $2c < 4$ for $c$. To do this, we divide both sides of the inequality by 2:

$\frac{2c}{2} < \frac{4}{2}$

$c < 2$

This means that $c$ can be any number less than

2. To graph this solution on a number line, we need to plot an endpoint at

2. Since the inequality is $c < 2$, not $c \le 2$, we need to use an open circle at 2 to indicate that 2 is not included in the solution. Then, we draw an arrow to the left of 2, indicating that all numbers less than 2 are solutions.

3. Final Answer

The solution to the inequality is $c < 2$. The graph would have an open circle at 2 and an arrow extending to the left, covering all numbers less than

2.