Question

Which linear inequality models the graph of the dotted line with a shaded
region above the line? (1 point)
y = 7x − 4
y > 7x − 4
y < 7x − 4
y ≤ 7x − 4
y ≥ 7x − 4

Answer 1

To determine which linear inequality models the graph of a dotted line with a shaded region above the line, we need to interpret the characteristics of the line and shading:

1. **Dotted Line**: This indicates that the line itself is not included in the solution set. Therefore, the inequality must be strict (either '>' or '<') rather than inclusive (like '≥' or '≤').

2. **Shaded Region Above the Line**: This means that the values of \(y\) are greater than the values given by the line. Therefore, we are looking for an inequality that represents \(y\) being greater than the line.

Given these points, the correct inequality that represents the shaded area above the line \(y = 7x - 4\) with a dotted line is:

**y > 7x - 4**

So, the answer is: **y > 7x - 4**.