Question

Which equation matches the inequality in the given graph? Option #1: y≥45x−3 Option #2: y>45x−3 Option #3: y≤45x−3 Option #4: y<45x−3 (1 point) The equation that matches the graph is Option #.

Answer 1

To determine which equation matches the inequality in the given graph, you'll need to check how the graph represents the line and the shading area.

1. If the line is **dashed**, the inequality is either **less than** or **greater than** (not including the line). This means the inequalities will be from Option #2 (y >) or Option #4 (y <).

2. If the line is **solid**, the inequality includes the line, so you would use **at least** or **at most** - meaning the options would be from Option #1 (y ≥) or Option #3 (y ≤).

3. Next, observe if the shaded area is **above** the line or **below** the line:
- If it's **above**, then the inequality is either Option #1 (y ≥) or Option #2 (y >).
- If it's **below**, then it's either Option #3 (y ≤) or Option #4 (y <).

Without the visual of the graph, it is difficult to make a definitive choice, but you should analyze the graph based on these criteria.

Please check the line style (solid or dashed) and shaded region to select the correct equation from the options provided.