The problem asks us to solve the inequality $2 > \frac{d}{2}$ and graph the solution on a number line.
2025/4/28
1. Problem Description
The problem asks us to solve the inequality and graph the solution on a number line.
2. Solution Steps
To solve the inequality , we need to isolate the variable . We can do this by multiplying both sides of the inequality by 2:
This can also be written as .
This means that can be any number less than
4. To graph this on a number line, we need an open circle at 4 (since $d$ is strictly less than 4, not less than or equal to 4) and an arrow pointing to the left, indicating that all numbers less than 4 are solutions.
3. Final Answer
The solution to the inequality is . We need to graph an open circle at 4 and an arrow pointing to the left.