Question

Write a two-variable linear inequality that models the graph of the solid line y = 2x - 4 with a shaded region above the line. Which of the following options is correct?

A: y is greater than or equal to 2x - 4

B: y < 2x - 4

C: y is less than or equal to 2x - 4

D: y > 2x - 4

Answer 1

To model the graph of the solid line \( y = 2x - 4 \) with a shaded region above the line, we need to express the inequality that includes points above the line.

Since the line is solid, it indicates that points on the line are included, which means we will use "greater than or equal to" (≥) to include the points on the line. The shading above signifies that we are interested in values for \( y \) that are greater than those given by the line.

Therefore, the correct inequality is:

\( y \geq 2x - 4 \)

From the options provided, the correct choice is:

**A: y is greater than or equal to 2x - 4**.