The problem asks us to solve the inequality $2 > \frac{d}{2}$ and graph the solution on a number line.

AlgebraInequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

1. Problem Description

The problem asks us to solve the inequality 2>d22 > \frac{d}{2} and graph the solution on a number line.

2. Solution Steps

To solve the inequality 2>d22 > \frac{d}{2}, we need to isolate the variable dd. We can do this by multiplying both sides of the inequality by 2:
22>d222 * 2 > \frac{d}{2} * 2
4>d4 > d
This can also be written as d<4d < 4.
This means that dd 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 d<4d < 4. We need to graph an open circle at 4 and an arrow pointing to the left.