Question

Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.
TX Algebra 1_A5.05_Linear Inequalities

What inequality is shown in the graph?

Answer 1

To provide the correct inequality in the form \( y = mx + b \) with the appropriate inequality symbol, I'd need to see the specific graph you're referring to, as the slope (m), y-intercept (b), and solid or dashed line would determine the inequality.

However, I can guide you on how to interpret a graph of a linear inequality:

1. **Identify the line**: Determine the slope \( m \) and y-intercept \( b \) from the line represented on the graph. The equation will be in the form of \( y = mx + b \).

2. **Determine the inequality symbol**:
- If the line is **solid**, use \( \leq \) or \( \geq \) (indicating that points on the line are included).
- If the line is **dashed**, use \( < \) or \( > \) (indicating that points on the line are not included).

3. **Identify the shaded region**: If the area above the line is shaded, use \( > \) or \( \geq \), indicating values for \( y \) are greater than those on the line. If the area below the line is shaded, use \( < \) or \( \leq \), indicating values for \( y \) are less than those on the line.

For example:
- If you determine the line is \( y = 2x + 3 \), with a dashed line and the shaded region below, the inequality would be \( y < 2x + 3 \).

If you have specifics from the graph, feel free to share them and I can help you formulate the correct inequality!