The problem is to solve the inequality $4 > \frac{s}{2}$ and graph the solution on a number line.

AlgebraInequalitiesNumber LineSolving Inequalities
2025/3/8

1. Problem Description

The problem is to solve the inequality 4>s24 > \frac{s}{2} and graph the solution on a number line.

2. Solution Steps

To solve the inequality 4>s24 > \frac{s}{2}, we need to isolate ss. We can do this by multiplying both sides of the inequality by
2.
4>s24 > \frac{s}{2}
24>2s22 \cdot 4 > 2 \cdot \frac{s}{2}
8>s8 > s
This inequality can also be written as s<8s < 8.
To graph this solution on a number line, we need an open circle at 8, since the inequality is s<8s < 8 (and not s8s \le 8). Then, we draw an arrow to the left, indicating that all values less than 8 are solutions to the inequality.

3. Final Answer

s<8s < 8

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